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Journal of Taibah University for Science Volume 16, 2022 - Issue 1
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Research Article

On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

M. Subramaniana Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, India
,
M. Manigandanb Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
,
C. Tunçc Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, TurkeyORCID Iconhttps://orcid.org/0000-0003-2909-8753
ORCID Icon,
T. N. Gopalb Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
&
J. Alzabutd Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia;e Department of Industrial Engineering, OSTİM Technical University, Ankara, TurkeyCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5262-1138
ORCID Icon
Pages 1-23 | Received 28 Jul 2021, Accepted 20 Nov 2021, Published online: 07 Feb 2022

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Eltaib M Abd Elmohmoud & Mohamed Z. Mohamed. (2022) Numerical treatment of some fractional nonlinear equations by Elzaki transform. Journal of Taibah University for Science 16:1, pages 774-787.
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Articles from other publishers (15)

Arezoo Ghasempour, Yadollah Ordokhani & Sedigheh Sabermahani. (2023) Fractional-Order Mittag–Leffler Functions for Solving Multi-dimensional Fractional Pantograph Delay Differential Equations. Iranian Journal of Science 47:3, pages 885-898.
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Marwan Alquran, Mohammed Ali, Kamel Al-Khaled & George Grossman. (2023) Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation. Nonlinear Engineering 12:1.
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Hasib Khan, Jehad Alzabut & Haseena Gulzar. (2023) Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model. Alexandria Engineering Journal 70, pages 665-672.
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Muath Awadalla & Murugesan Manigandan. (2023) Existence Results for Caputo Tripled Fractional Differential Inclusions with Integral and Multi-Point Boundary Conditions. Fractal and Fractional 7:2, pages 182.
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Hassan J. Al Salman, Muath Awadalla, Muthaiah Subramanian & Kinda Abuasbeh. (2023) On a System of Coupled Langevin Equations in the Frame of Generalized Liouville–Caputo Fractional Derivatives. Symmetry 15:1, pages 204.
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Hasib Khan, Jehad Alzabut, Dumitru Baleanu, Ghada Alobaidi & Mutti-Ur Rehman. (2023) Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application. AIMS Mathematics 8:3, pages 6609-6625.
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Abeer Al Elaiw, Murugesan Manigandan, Muath Awadalla & Kinda Abuasbeh. (2023) Existence results by Mönch's fixed point theorem for a tripled system of sequential fractional differential equations. AIMS Mathematics 8:2, pages 3969-3996.
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Emad Fadhal, Kinda Abuasbeh, Murugesan Manigandan & Muath Awadalla. (2022) Applicability of Mönch’s Fixed Point Theorem on a System of (k, ψ)-Hilfer Type Fractional Differential Equations. Symmetry 14:12, pages 2572.
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Muthaiah Subramanian, Murugesan Manigandan, Akbar Zada & Thangaraj Nandha Gopal. (2022) Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions. International Journal of Nonlinear Sciences and Numerical Simulation 0:0.
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Muath Awadalla, Muthaian Subramanian, Murugesan Manigandan & Kinda Abuasbeh. (2022) Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals. Journal of Function Spaces 2022, pages 1-11.
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Muath Awadalla & Murugesan Manigandan. (2022) Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions. Mathematical Problems in Engineering 2022, pages 1-15.
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Murugesan Manigandan, Muthaiah Subramanian, Thangaraj Nandha Gopal & Bundit Unyong. (2022) Existence and Stability Results for a Tripled System of the Caputo Type with Multi-Point and Integral Boundary Conditions. Fractal and Fractional 6:6, pages 285.
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Muthaiah Subramanian, Jehad Alzabut, Mohamed I. Abbas, Chatthai Thaiprayoon & Weerawat Sudsutad. (2022) Existence of Solutions for Coupled Higher-Order Fractional Integro-Differential Equations with Nonlocal Integral and Multi-Point Boundary Conditions Depending on Lower-Order Fractional Derivatives and Integrals. Mathematics 10:11, pages 1823.
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Muath Awadalla, Kinda Abuasbeh, Muthaiah Subramanian & Murugesan Manigandan. (2022) On a System of ψ-Caputo Hybrid Fractional Differential Equations with Dirichlet Boundary Conditions. Mathematics 10:10, pages 1681.
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Muthaiah Subramanian, P. Duraisamy, C. Kamaleshwari, Bundit Unyong & R. Vadivel. (2022) Existence and U-H Stability Results for Nonlinear Coupled Fractional Differential Equations with Boundary Conditions Involving Riemann–Liouville and Erdélyi–Kober Integrals. Fractal and Fractional 6:5, pages 266.
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