Publication Cover
Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 7
702
Views
152
CrossRef citations to date
0
Altmetric
Original Articles

Existence results for boundary value problems with non-linear fractional differential equations

, &
Pages 851-863 | Received 28 Apr 2008, Accepted 19 Jun 2008, Published online: 29 Sep 2008

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

Gauhar Ali, Kamal Shah & Ghaus Ur Rahman. (2020) Existence of solution to a class of fractional delay differential equation under multi-points boundary conditions. Arab Journal of Basic and Applied Sciences 27:1, pages 471-479.
Read now
Samiha Belmor, Chokkalingam Ravichandran & Fahd Jarad. (2020) Nonlinear generalized fractional differential equations with generalized fractional integral conditions. Journal of Taibah University for Science 14:1, pages 114-123.
Read now
Kamal Shah & Rahmat Ali Khan. (2016) Existence and Uniqueness Results to a Coupled System of Fractional Order Boundary Value Problems by Topological Degree Theory. Numerical Functional Analysis and Optimization 37:7, pages 887-899.
Read now
Mouffak Benchohra, Naima Hamidi & Johnny Henderson. (2013) Fractional Differential Equations with Anti-Periodic Boundary Conditions. Numerical Functional Analysis and Optimization 34:4, pages 404-414.
Read now
Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata & Boualem Attou Slimani. (2012) Darboux problem for fractional-order discontinuous hyperbolic partial differential equations in Banach algebras. Complex Variables and Elliptic Equations 57:2-4, pages 337-350.
Read now
JinRong Wang, Yong Zhou & Wei Wei. (2012) Study in Fractional Differential Equations by Means of Topological Degree Methods. Numerical Functional Analysis and Optimization 33:2, pages 216-238.
Read now

Articles from other publishers (146)

Ahmed Mohamad El-Sayed, Shorouk Mahmoud Al-Issa & Maysaa Mohamad El Miari. (2024) On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions. Demonstratio Mathematica 57:1.
Crossref
Dehong Ji, Shiqiu Fu & Yitao Yang. (2024) Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative. Demonstratio Mathematica 57:1.
Crossref
. 2024. Fractional Difference, Differential Equations, and Inclusions. Fractional Difference, Differential Equations, and Inclusions 355 372 .
Saïd Abbas, Bashir Ahmad, Mouffak Benchohra & Abdelkrim Salim. 2024. Fractional Difference, Differential Equations, and Inclusions. Fractional Difference, Differential Equations, and Inclusions 325 353 .
Issam Kaddoura & Yahia Awad. (2023) Stability Results for Nonlinear Implicit -Caputo Fractional Differential Equations with Fractional Integral Boundary Conditions . International Journal of Differential Equations 2023, pages 1-22.
Crossref
Rizwan Rizwan, Fengxia Liu, Zhiyong Zheng, Choonkil Park & Siriluk Paokanta. (2023) Existence theory and Ulam’s stabilities for switched coupled system of implicit impulsive fractional order Langevin equations. Boundary Value Problems 2023:1.
Crossref
Rizwan Rizwan, Akbar Zada, Hira Waheed & Usman Riaz. (2023) Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives. International Journal of Nonlinear Sciences and Numerical Simulation 24:6, pages 2405-2423.
Crossref
Piyachat Borisut & Supak Phiangsungnoen. (2023) Existence and Uniqueness of Positive Solutions for the Fractional Differential Equation Involving the ρ(τ)-Laplacian Operator and Nonlocal Integral Condition. Mathematics 11:16, pages 3525.
Crossref
Józef Banaś & Rahma Taktak. (2023) Measures of noncompactness in the study of solutions of infinite systems of Volterra-Hammerstein-Stieltjes integral equations. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:3.
Crossref
Kamal Shah, Gauhar Ali, Khursheed J. Ansari, Thabet Abdeljawad, M. Meganathan & Bahaaeldin Abdalla. (2023) On qualitative analysis of boundary value problem of variable order fractional delay differential equations. Boundary Value Problems 2023:1.
Crossref
Djamila Chergui, Ahcene Merad & Sandra Pinelas. (2023) Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions. Analysis 43:1, pages 1-13.
Crossref
Babak Mohammadi, Marija Paunovic, Vahid Parvanah & Mohammad Mursaleen. (2023) Existence of solution for some φ-Caputo fractional differential inclusions Viawardowski-Mizoguchi-Takahashi multi-valued contractions. Filomat 37:12, pages 3777-3789.
Crossref
MUHAMMAD SHER, AZIZ KHAN, KAMAL SHAH & THABET ABDELJAWAD. (2023) FRACTIONAL-ORDER SINE-GORDON EQUATION INVOLVING NONSINGULAR DERIVATIVE. Fractals 31:10.
Crossref
Kamal Shah, Israr Ahmad, Juan J. Nieto, Ghaus Ur Rahman & Thabet Abdeljawad. (2022) Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations. Qualitative Theory of Dynamical Systems 21:4.
Crossref
Asma, Ghaus ur Rahman, J. F. Gómez-Aguilar, Mubeen Akhtar & J. Torres-Jiménez. (2022) Study of Multi-Term Pantograph Differential Equations of Arbitrary Order. Few-Body Systems 63:4.
Crossref
Yusry O El-Dib. (2022) An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator. Communications in Theoretical Physics 74:10, pages 105006.
Crossref
Houssem Eddine Khochemane, Abdelouaheb Ardjouni & Salah Zitouni. (2022) Existence and Ulam stability results for two orders neutral fractional differential equations. Afrika Matematika 33:2.
Crossref
Pratibha Verma & Manoj Kumar. (2020) Existence and uniqueness results and analytical solution of the multi-dimensional Riesz space distributed-order advection–diffusion equation via two-step Adomian decomposition method. Engineering with Computers 38:3, pages 2051-2066.
Crossref
HUSSAM ALRABAIAH. (2021) APPROXIMATE SOLUTION OF FORNBERG–WHITHAM EQUATION BY MODIFIED HOMOTOPY PERTURBATION METHOD UNDER NON-SINGULAR FRACTIONAL DERIVATIVE. Fractals 30:01.
Crossref
MUHAMMAD NAEEM JAN, GUL ZAMAN, IMTIAZ AHMAD, NIGAR ALI, KOTTAKKARAN SOOPPY NISAR, ABDEL-HALEEM ABDEL-ATY & M. ZAKARYA. (2021) EXISTENCE THEORY TO A CLASS OF FRACTIONAL ORDER HYBRID DIFFERENTIAL EQUATIONS. Fractals 30:01.
Crossref
ZAREEN A. KHAN, KAMAL SHAH, IBRAHIM MAHARIQ & HUSSAM ALRABAIAH. (2021) STUDY OF FRACTIONAL ORDER DELAY CAUCHY NON-AUTONOMOUS EVOLUTION PROBLEMS VIA DEGREE THEORY. Fractals 30:01.
Crossref
Youyu Wang, Xianfei Li & Yue Huang. (2022) The Green's function for Caputo fractional boundary value problem with a convection term. AIMS Mathematics 7:4, pages 4887-4897.
Crossref
Abdelatif Boutiara, Maamar Benbachir, Jehad Alzabut & Mohammad Samei. (2021) Monotone Iterative and Upper–Lower Solution Techniques for Solving the Nonlinear ψ−Caputo Fractional Boundary Value Problem. Fractal and Fractional 5:4, pages 194.
Crossref
Saadoune Brahimi, Ahcene Merad & Adem Kılıçman. (2021) Theoretical and Numerical Aspect of Fractional Differential Equations with Purely Integral Conditions. Mathematics 9:16, pages 1987.
Crossref
AMIR ALI, ZAMIN GUL, WAJAHAT ALI KHAN, SAEED AHMAD & SALMAN ZEB. (2021) INVESTIGATION OF FRACTIONAL ORDER SINE-GORDON EQUATION USING LAPLACE ADOMIAN DECOMPOSITION METHOD. Fractals 29:05, pages 2150121.
Crossref
Rizwan Rizwan, Akbar Zada, Manzoor Ahmad, Syed Omar Shah & Hira Waheed. (2021) Existence theory and stability analysis of switched coupled system of nonlinear implicit impulsive Langevin equations with mixed derivatives. Mathematical Methods in the Applied Sciences 44:11, pages 8963-8985.
Crossref
Zaid Laadjal & Qing‐Hua Ma. (2019) Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions. Mathematical Methods in the Applied Sciences 44:10, pages 8215-8227.
Crossref
Kamal Shah, Liaqat Shah, Saeed Ahmad, John Michael Rassias & Yongjin Li. (2019) Monotone iterative techniques together with Hyers‐Ulam‐Rassias stability. Mathematical Methods in the Applied Sciences 44:10, pages 8197-8214.
Crossref
Anwar Ali, Muhammad Sarwar, Mian Bahadur Zada & Kamal Shah. (2020) Existence of solution to fractional differential equation with fractional integral type boundary conditions. Mathematical Methods in the Applied Sciences 44:2, pages 1615-1627.
Crossref
Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra & Gaston N'guérékata. (2021) Existence, uniqueness, approximation of solutions and Ealpha-Ulam stability results for a class of nonlinear fractional differential equations involving psi-Caputo derivative with initial conditions. Mathematica Moravica 25:1, pages 1-30.
Crossref
Rizwan Rizwan, Jung Rye Lee, Choonkil Park & Akbar Zada. (2021) Switched coupled system of nonlinear impulsive Langevin equations with mixed derivatives. AIMS Mathematics 6:12, pages 13092-13118.
Crossref
Xiaoming Wang, Rizwan Rizwan, Jung Rey Lee, Akbar Zada & Syed Omar Shah. (2021) Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives. AIMS Mathematics 6:5, pages 4915-4929.
Crossref
T. Donchev, S. Hristova & P. Kopanov. P-moment exponential stability of Caputo fractional differential equations with impulses at random times and fractional order q ∈ (1, 2). P-moment exponential stability of Caputo fractional differential equations with impulses at random times and fractional order q ∈ (1, 2).
Mohammed A. Almalahi & Satish K. Panchal. (2020) Existence results of ψ -Hilfer integro-differential equations with fractional order in Banach space . Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19:1, pages 171-192.
Crossref
ISRAR AHAMAD, KAMAL SHAH, THABET ABDELJAWAD & FAHD JARAD. (2020) QUALITATIVE STUDY OF NONLINEAR COUPLED PANTOGRAPH DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. Fractals 28:08, pages 2040045.
Crossref
GHAZALA NAZIR, KAMAL SHAH, THABET ABDELJAWAD, HAMMAD KHALIL & RAHMAT ALI KHAN. (2020) USING A PRIOR ESTIMATE METHOD TO INVESTIGATE SEQUENTIAL HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS. Fractals 28:08, pages 2040004.
Crossref
SAMIHA BELMOR, F. JARAD, T. ABDELJAWAD & MANAR A. ALQUDAH. (2020) ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION. Fractals 28:08, pages 2040002.
Crossref
S. Harikrishnan, Kamal Shah & K. Kanagarajan. (2019) Study of a boundary value problem for fractional order $$\psi $$-Hilfer fractional derivative. Arabian Journal of Mathematics 9:3, pages 589-596.
Crossref
Gauhar Ali, Israr Ahmad, Kamal Shah & Thabet Abdeljawad. (2020) Iterative Analysis of Nonlinear BBM Equations under Nonsingular Fractional Order Derivative. Advances in Mathematical Physics 2020, pages 1-12.
Crossref
K Buvaneswari & P Karthikeyan. (2020) Mild solutions for a coupled system of fractional differential equations with slit-strips type integral boundary conditions. Journal of Physics: Conference Series 1597:1, pages 012054.
Crossref
Kamal Shah, Thabet Abdeljawad, Hammad Khalil & Rahmat Ali Khan. 2020. Functional Calculus. Functional Calculus.
Samina, Kamal Shah & Rahmat Ali Khan. (2020) Stability theory to a coupled system of nonlinear fractional hybrid differential equations. Indian Journal of Pure and Applied Mathematics 51:2, pages 669-687.
Crossref
Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra & Alberto Cabada. (2020) Initial Value Problem For Nonlinear Fractional Differential Equations With ψ-Caputo Derivative Via Monotone Iterative Technique. Axioms 9:2, pages 57.
Crossref
Rizwan Rizwan & Akbar Zada. (2019) Nonlinear impulsive Langevin equation with mixed derivatives. Mathematical Methods in the Applied Sciences 43:1, pages 427-442.
Crossref
Mohammed A. Almalahi, Mohammed S. Abdo & Satish K. Panchal. (2020) On the theory of fractional terminal value problem with <i>ψ</i>-Hilfer fractional derivative. AIMS Mathematics 5:5, pages 4889-4908.
Crossref
Bangan SOAMPA & Moussa Zakari DJIBIBE. (2020) Mixed problem with an pure integral two-space-variables condition for a third order fractional parabolic equation. Malaya Journal of Matematik 8:1, pages 258-271.
Crossref
Ahmed Malti, Mouffak Benchohra, John Graef & Jamal-Eddine Lazreg. (2020) Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations. Electronic Journal of Qualitative Theory of Differential Equations:78, pages 1-17.
Crossref
Akbar Zada, Rizwan Rizwan, Jiafa Xu & Zhengqing Fu. (2019) On implicit impulsive Langevin equation involving mixed order derivatives. Advances in Difference Equations 2019:1.
Crossref
Sajjad Ali, Thabet Abdeljawad, Kamal Shah, Fahd Jarad & Muhammad Arif. (2019) Computation of iterative solutions along with stability analysis to a coupled system of fractional order differential equations. Advances in Difference Equations 2019:1.
Crossref
Rizwan Rizwan, Akbar Zada & Xiaoming Wang. (2019) Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. Advances in Difference Equations 2019:1.
Crossref
M. Jamil, R. A. Khan & K. Shah. (2019) Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations. Boundary Value Problems 2019:1.
Crossref
Kamal Shah & JinRong Wang. (2018) A numerical scheme based on non-discretization of data for boundary value problems of fractional order differential equations. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:3, pages 2277-2294.
Crossref
Akbar Zada & Sartaj Ali. (2019) Stability of Integral Caputo-Type Boundary Value Problem with Noninstantaneous Impulses. International Journal of Applied and Computational Mathematics 5:3.
Crossref
Jesus Martín-Vaquero & Ahcene Merad. (2019) Existence, uniqueness and numerical solution of a fractional PDE with integral conditions. Nonlinear Analysis: Modelling and Control 24:3, pages 368-386.
Crossref
S. Suresh & G. Thamizhendhi. (2019) Some results on fractional semilinear impulsive integro-differential equations. Malaya Journal of Matematik 7:2, pages 259-263.
Crossref
Muhammad Zamir, Kamal Shah & Muhammad Ikhlaq Chohan. (2019) Stability theory and existence of solution to a multi-point boundary value problem of fractional differential equations. Mathematical Sciences 13:1, pages 53-60.
Crossref
Kamal Shah, Poom Kumam & Inam Ullah. (2019) On Ulam Stability and Multiplicity Results to a Nonlinear Coupled System with Integral Boundary Conditions. Mathematics 7:3, pages 223.
Crossref
Bashir Ahmad, P. Karthikeyan & K. Buvaneswari. (2019) Fractional differential equations with coupled slit-strips type integral boundary conditions. AIMS Mathematics 4:6, pages 1596-1609.
Crossref
Vipin Kumar & Muslim Malik. (2019) Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales. Nonautonomous Dynamical Systems 6:1, pages 65-80.
Crossref
Akbar Zada, Hira Waheed, Jehad Alzabut & Xiaoming Wang. (2019) Existence and stability of impulsive coupled system of fractional integrodifferential equations. Demonstratio Mathematica 52:1, pages 296-335.
Crossref
Yuji Liu. (2019) A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications. Advances in Nonlinear Analysis 8:1, pages 386-454.
Crossref
Amjad Ali, Kamal Shah & Yongjin Li. 2019. Frontiers in Functional Equations and Analytic Inequalities. Frontiers in Functional Equations and Analytic Inequalities 73 92 .
Kamal Shah, Zamin Gul, Yongjin Li & Rahmat Ali Khan. 2019. Frontiers in Functional Equations and Analytic Inequalities. Frontiers in Functional Equations and Analytic Inequalities 45 71 .
Kamal Shah, Jinrong Wang, Hammad Khalil & Rahmat Ali Khan. (2018) Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations. Advances in Difference Equations 2018:1.
Crossref
P Duraisamy, S Hemalatha, P Manimekalai & T Nandha Gopal. (2018) Some results on fractional integro – differential equations with Riemann-Liouville fractional integral boundary conditions. Journal of Physics: Conference Series 1139, pages 012015.
Crossref
Yuji Liu & Patricia J. Y. Wong. (2017) Recent studies on boundary value problems for impulsive fractional differential systems involving Caputo fractional derivatives. Boletín de la Sociedad Matemática Mexicana 24:2, pages 393-425.
Crossref
Yuji Liu. (2017) Existence of Solutions of Impulsive Anti-periodic Type Boundary Value Problems for Singular Fractional Differential Systems. Differential Equations and Dynamical Systems 26:4, pages 293-313.
Crossref
Fatma M. Gaafar. (2018) The Existence of Solutions for a Nonlinear First-Order Differential Equation Involving the Riemann–Liouville Fractional-Order and Nonlocal Condition. Mediterranean Journal of Mathematics 15:5.
Crossref
Said ABBAS, Amaria ARARA, Mouffak BENCHOHRA & Fatima MESRİ. (2018) Random evolution equations in Frechet spaces. Advances in the Theory of Nonlinear Analysis and its Application 2:3, pages 128-137.
Crossref
Samira HAMANİ, Wafaa BENHAMİDA & Johnny HENDERSON. (2018) Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations. Advances in the Theory of Nonlinear Analysis and its Application 2:3, pages 138-145.
Crossref
Xiangyun Meng & Martin Stynes. (2018) The Green's function and a maximum principle for a Caputo two-point boundary value problem with a convection term. Journal of Mathematical Analysis and Applications 461:1, pages 198-218.
Crossref
Yuji Liu. (2018) Solvability of Anti-periodic BVPs for Impulsive Fractional Differential Systems Involving Caputo and Riemann–Liouville Fractional Derivatives. International Journal of Nonlinear Sciences and Numerical Simulation 19:2, pages 125-152.
Crossref
Ghazala Akram & Fareeha Anjum. (2017) Study of Fractional Boundary Value Problem Using Mittag-Leffler Function with Two Point Periodic Boundary Conditions. International Journal of Applied and Computational Mathematics 4:1.
Crossref
Kamal Shah & Rahmat Ali Khan. (2016) Iterative scheme for a coupled system of fractional‐order differential equations with three‐point boundary conditions. Mathematical Methods in the Applied Sciences 41:3, pages 1047-1053.
Crossref
Yongjin Li, Kamal Shah & Rahmat Ali Khan. (2017) Iterative technique for coupled integral boundary value problem of non-integer order differential equations. Advances in Difference Equations 2017:1.
Crossref
Nigar Ali, Kamal Shah, Dumitru Baleanu, Muhammad Arif & Rahmat Ali Khan. (2017) Study of a class of arbitrary order differential equations by a coincidence degree method. Boundary Value Problems 2017:1.
Crossref
Amjad Ali, Bessem Samet, Kamal Shah & Rahmat Ali Khan. (2017) Existence and stability of solution to a toppled systems of differential equations of non-integer order. Boundary Value Problems 2017:1.
Crossref
Fazal Haq, Kamal Shah, Ghaus ur Rahman & Muhammad Shahzad. (2017) Hyers–Ulam Stability to a Class of Fractional Differential Equations with Boundary Conditions. International Journal of Applied and Computational Mathematics 3:S1, pages 1135-1147.
Crossref
Oussaeif Taki-Eddine & Bouziani Abdelfatah. (2017) A priori estimates for weak solution for a time-fractional nonlinear reaction-diffusion equations with an integral condition. Chaos, Solitons & Fractals 103, pages 79-89.
Crossref
Saïd Abbas & Mouffak Benchohra. (2017) Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses. Mathematica Slovaca 67:4, pages 875-894.
Crossref
Samira Hamani & Johnny Henderson. (2017) Boundary value problems for fractional differential equations and inclusions in Banach spaces. Malaya Journal of Matematik 5:02, pages 346-366.
Crossref
Aziz Khan, Kamal Shah, Yongjin Li & Tahir Saeed Khan. (2017) Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations. Journal of Function Spaces 2017, pages 1-8.
Crossref
Józef Banaś, Nelson Merentes & Beata Rzepka. 2017. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness 1 58 .
Yuji Liu. (2016) Existence of Solutions of a New Class of Impulsive Initial Value Problems of Singular Nonlinear Fractional Differential Systems. International Journal of Nonlinear Sciences and Numerical Simulation 17:7-8, pages 343-353.
Crossref
Dong Wang & Guotao Wang. (2016) Integro-differential fractional boundary value problem on an unbounded domain. Advances in Difference Equations 2016:1.
Crossref
Suli Liu, Huilai Li, Qun Dai & Junpeng Liu. (2016) Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations. Advances in Difference Equations 2016:1.
Crossref
Kamal Shah, Amjad Ali & Rahmat Ali Khan. (2016) Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems. Boundary Value Problems 2016:1.
Crossref
Wenxia Wang & Xiaotong Guo. (2016) Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions. Boundary Value Problems 2016:1.
Crossref
Günendi Mustafa & Yaslan İsmail. (2016) Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions. Fractional Calculus and Applied Analysis 19:4, pages 989-1009.
Crossref
Yan Sun & Kai Yan. (2016) EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION THREE-POINT BOUNDARY VALUE PROBLEMS. Journal of Applied Analysis & Computation 6:4, pages 939-949.
Crossref
Yuji Liu. (2015) New results on the existence of solutions of boundary value problems for singular fractional differential systems with impulse effects. Tbilisi Mathematical Journal 8:2.
Crossref
Suli Liu, Huilai Li & Qun Dai. (2015) Nonlinear fractional differential equations with nonlocal integral boundary conditions. Advances in Difference Equations 2015:1.
Crossref
Yuji Liu & Shimin Li. (2015) Periodic boundary value problems for singular fractional differential equations with impulse effects. Malaya Journal of Matematik 3:04, pages 423-490.
Crossref
Kamal Shah, Hammad Khalil & Rahmat Ali Khan. (2015) Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. Chaos, Solitons & Fractals 77, pages 240-246.
Crossref
Saïd Abbas & Mouffak Benchohra. (2015) Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses. Applied Mathematics and Computation 257, pages 190-198.
Crossref
Yuji Liu. (2015) EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS. Korean Journal of Mathematics 23:1, pages 205-230.
Crossref
Adel Jawahdou. (2015) Initial Value Problem of Fractional Integro-Differential Equations in Banach Space. Fractional Calculus and Applied Analysis 18:1, pages 20-37.
Crossref
Yanli Jia & Xingqiu Zhang. (2014) Positive solutions for a class of fractional differential equation multi-point boundary value problems with changing sign nonlinearity. Journal of Applied Mathematics and Computing 47:1-2, pages 15-31.
Crossref
Mohamed I. Abbas. (2015) Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions. Abstract and Applied Analysis 2015, pages 1-6.
Crossref
Wen-Xue Zhou, Jian-Gang Zhang & Jie-Mei Li. (2014) Existence of multiple positive solutions for singular boundary value problems of nonlinear fractional differential equations. Advances in Difference Equations 2014:1.
Crossref
Zhenhai Liu & Peifen Lu. (2014) Stability analysis for HIV infection of CD4+ T-cells by a fractional differential time-delay model with cure rate. Advances in Difference Equations 2014:1.
Crossref
Guotao Wang, Alberto Cabada & Lihong Zhang. (2014) An integral boundary value problem for nonlinear differential equations of fractional order on an unbounded domain. Journal of Integral Equations and Applications 26:1.
Crossref
Wengui Yang. (2013) Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions. Journal of Applied Mathematics and Computing 44:1-2, pages 39-59.
Crossref
Peiluan Li & Youlin Shang. (2014) Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions. Abstract and Applied Analysis 2014, pages 1-13.
Crossref
Yiliang Liu, Peifen Lu & Ivan Szanto. (2014) Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4 + T-Cell Proliferation under Antiretroviral Therapy . Abstract and Applied Analysis 2014, pages 1-13.
Crossref
A. Anguraj, P. Karthikeyan, M. Rivero & J.J. Trujillo. (2014) On new existence results for fractional integro-differential equations with impulsive and integral conditions. Computers & Mathematics with Applications 66:12, pages 2587-2594.
Crossref
Józef Banaś & Mohammad MursaleenJózef Banaś & Mohammad Mursaleen. 2014. Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations. Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations 263 310 .
Manli Jin & Yuguo Lin. (2013) Positive properties of Green’s function for focal-type BVPs of singular nonlinear fractional differential equations and its application. Advances in Difference Equations 2013:1.
Crossref
Yuji Liu. (2013) Existence of solutions of periodic‐type boundary value problems for multi‐term fractional differential equations. Mathematical Methods in the Applied Sciences 36:16, pages 2187-2207.
Crossref
Jing Zhao, Peifen Lu & Yiliang Liu. (2013) Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions. Journal of Applied Mathematics 2013, pages 1-15.
Crossref
Hongxia Fan & Jia Mu. (2012) Initial value problem for fractional evolution equations. Advances in Difference Equations 2012:1.
Crossref
Guotao Wang, Lihong Zhang & Guangxing Song. (2012) Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses. Fixed Point Theory and Applications 2012:1.
Crossref
Józef Banaś & Beata Rzepka. (2012) The technique of Volterra–Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders. Computers & Mathematics with Applications 64:10, pages 3108-3116.
Crossref
Marius-F. Danca. (2012) Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order. Nonlinear Dynamics 70:1, pages 815-823.
Crossref
Yuji Liu. (2012) Solvability of multi-point boundary value problems for multiple term Riemann–Liouville fractional differential equations. Computers & Mathematics with Applications 64:4, pages 413-431.
Crossref
Saïd Abbas, Mouffak Benchohra & Aleksandr N. Vityuk. (2012) On fractional order derivatives and Darboux problem for implicit differential equations. Fractional Calculus and Applied Analysis 15:2, pages 168-182.
Crossref
John R. Graef & Lingju Kong. (2012) Positive solutions for a class of higher order boundary value problems with fractional q-derivatives. Applied Mathematics and Computation 218:19, pages 9682-9689.
Crossref
Guotao Wang & Lihong Zhang. (2012) WITHDRAWN: Iterative approximation of solutions for nonlinear fractional differential equations with non-separated integral boundary conditions. Nonlinear Analysis: Real World Applications.
Crossref
Chengjun Yuan. (2012) Two positive solutions for (n−1,1)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations. Communications in Nonlinear Science and Numerical Simulation 17:2, pages 930-942.
Crossref
JinRong Wang, XiWang Dong & Yong Zhou. (2012) Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations. Communications in Nonlinear Science and Numerical Simulation 17:2, pages 545-554.
Crossref
Wen-Xue Zhou, Ji-Gen Peng & Yan-Dong Chu. (2012) Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations. Discrete Dynamics in Nature and Society 2012, pages 1-10.
Crossref
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 341 382 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 287 339 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 251 285 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 171 249 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 115 169 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 25 114 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 11 24 .
Saïd Abbas, Mouffak Benchohra & Gaston M. N'GuérékataSaïd Abbas, Mouffak Benchohra & Gaston M. N’Guérékata. 2012. Topics in Fractional Differential Equations. Topics in Fractional Differential Equations 1 10 .
Bashir Ahmad, Juan J. Nieto & Ahmed Alsaedi. (2011) Existence and uniqueness of solutions for nonlinear fractional differential equations with non-separated type integral boundary conditions. Acta Mathematica Scientia 31:6, pages 2122-2130.
Crossref
Huacheng Zhou, Chunhai Kou & Wen Song. (2011) Some Results for Nonlinear ( )-Term Fractional Integrodifferential Inclusions with Multipoint Boundary Conditions . ISRN Mathematical Analysis 2011, pages 1-20.
Crossref
Asadollah Aghajani, Józef Banaś & Yaghoub Jalilian. (2011) Existence of solutions for a class of nonlinear Volterra singular integral equations. Computers & Mathematics with Applications 62:3, pages 1215-1227.
Crossref
Józef Banaś & Tomasz Zaja̧c. (2011) A new approach to the theory of functional integral equations of fractional order. Journal of Mathematical Analysis and Applications 375:2, pages 375-387.
Crossref
Liu Yang & Haibo Chen. (2011) Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order. Advances in Difference Equations 2011, pages 1-16.
Crossref
Saïd Abbas, Mouffak Benchohra & JuanJ Nieto. (2011) Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations. Advances in Difference Equations 2011:1, pages 379876.
Crossref
Saïd Abbas, Ravi P. Agarwal & Mouffak Benchohra. (2010) Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay. Nonlinear Analysis: Hybrid Systems 4:4, pages 818-829.
Crossref
Saïd Abbas & Mouffak Benchohra. (2010) Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order. Nonlinear Analysis: Hybrid Systems 4:3, pages 406-413.
Crossref
Ravi P. Agarwal, Mouffak Benchohra & Samira Hamani. (2008) A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions. Acta Applicandae Mathematicae 109:3, pages 973-1033.
Crossref
Mouffak Benchohra & Farida Berhoun. (2010) Impulsive fractional differential equations with variable times. Computers & Mathematics with Applications 59:3, pages 1245-1252.
Crossref
Johnny Henderson & Abdelghani Ouahab. (2010) Impulsive differential inclusions with fractional order. Computers & Mathematics with Applications 59:3, pages 1191-1226.
Crossref
A. Arara, M. Benchohra, N. Hamidi & J.J. Nieto. (2010) Fractional order differential equations on an unbounded domain. Nonlinear Analysis: Theory, Methods & Applications 72:2, pages 580-586.
Crossref
Józef Banaś & Tomasz Zaja̧c. (2009) Solvability of a functional integral equation of fractional order in the class of functions having limits at infinity. Nonlinear Analysis: Theory, Methods & Applications 71:11, pages 5491-5500.
Crossref
Saïd Abbas & Mouffak Benchohra. (2009) Darboux problem for perturbed partial differential equations of fractional order with finite delay. Nonlinear Analysis: Hybrid Systems 3:4, pages 597-604.
Crossref
Mouffak Benchohra & Samira Hamani. (2009) The method of upper and lower solutions and impulsive fractional differential inclusions. Nonlinear Analysis: Hybrid Systems 3:4, pages 433-440.
Crossref
Xiaojie Xu, Daqing Jiang & Chengjun Yuan. (2009) Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation. Nonlinear Analysis: Theory, Methods & Applications 71:10, pages 4676-4688.
Crossref
Mouffak Benchohra, Alberto Cabada & Djamila Seba. (2009) An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces. Boundary Value Problems 2009, pages 1-11.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.