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Mathematical Modelling and Analysis Volume 18, 2013 - Issue 1
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Original Articles

Basic Theory of Nonlinear Third-Order q-Difference Equations and Inclusions

Bashir Ahmad Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia
&
Juan Jose Nieto Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia; Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago, SpainCorrespondence[email protected]
Pages 122-135 | Received 25 Jun 2012, Accepted 14 Dec 2012, Published online: 29 Jan 2013

Citations (19)

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Read on this site (2)

Ravi P. Agarwal, Guotao Wang, Bashir Ahmad, Lihong Zhang, Aatef Hobiny & Shatha Monaquel. (2015) On Existence of Solutions for Nonlinear q-difference Equations with Nonlocal q-integral Boundary Conditions. Mathematical Modelling and Analysis 20:5, pages 604-618.
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Bashir Ahmad & Sotiris K. Ntouyas. (2014) Boundary Value Problems for q-Difference Equations and Inclusions with Nonlocal and Integral Boundary Conditions. Mathematical Modelling and Analysis 19:5, pages 647-663.
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Articles from other publishers (17)

Changlong Yu, Jing Li & Jufang Wang. (2022) Existence and uniqueness criteria for nonlinear quantum difference equations with $ p $-Laplacian. AIMS Mathematics 7:6, pages 10439-10453.
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Bilender Pasaoğlu Allahverdiev & Huseyin Tuna. (2020) Existence of solutions for nonlinear singular $q$-Sturm - Liouville problems. Ufa Mathematical Journal Ufimskii Matematicheskii Zhurnal 12:1, pages 91-102.
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Z. Noeiaghdam, T. Allahviranloo & Juan J. Nieto. (2019) q-fractional differential equations with uncertainty. Soft Computing 23:19, pages 9507-9524.
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Mohamed Jleli & Bessem Samet. (2017) Solvability of a q-fractional integral equation arising in the study of an epidemic model. Advances in Difference Equations 2017:1.
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Zeinab Mansour & Maryam Al-Towailb. (2017) q-Lidstone polynomials and existence results for q-boundary value problems. Boundary Value Problems 2017:1.
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Mohammad Mursaleen, Syed M. H. Rizvi & Bessem Samet. 2017. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness 59 125 .
Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas & Jessada Tariboon. (2016) Quantum Difference Langevin System with Nonlocal -Derivative Conditions . International Journal of Mathematics and Mathematical Sciences 2016, pages 1-11.
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Aurelian Cernea. 2016. Differential and Difference Equations with Applications. Differential and Difference Equations with Applications 71 77 .
Misir J Mardanov, Nazim I Mahmudov & Yagub A Sharifov. (2015) Existence and uniqueness results for q-fractional difference equations with p-Laplacian operators. Advances in Difference Equations 2015:1.
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Ravi P Agarwal, Guotao Wang, Bashir Ahmad, Lihong Zhang & Aatef Hobiny. (2015) Successive iteration and positive extremal solutions for nonlinear impulsive q k -difference equations. Advances in Difference Equations 2015:1.
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Sotiris K. Ntouyas & Jessada Tariboon. (2015) Nonlocal Boundary Value Problems for -Difference Equations and Inclusions . International Journal of Differential Equations 2015, pages 1-12.
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Xinhui Li, Zhenlai Han, Shurong Sun & Hongling Lu. (2014) Boundary value problems for fractional q-difference equations with nonlocal conditions. Advances in Difference Equations 2014:1.
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Iván Area, Eduardo Godoy & Juan J Nieto. (2014) Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices. Advances in Difference Equations 2014:1.
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Lihong Zhang, Bashir Ahmad & Guotao Wang. (2014) Impulsive Antiperiodic Boundary Value Problems for Nonlinear -Difference Equations . Abstract and Applied Analysis 2014, pages 1-5.
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Thanin Sitthiwirattham, Jessada Tariboon & Sotiris K Ntouyas. (2013) Boundary value problems for fractional difference equations with three-point fractional sum boundary conditions. Advances in Difference Equations 2013:1.
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Xinhui Li, Zhenlai Han & Shurong Sun. (2013) Existence of positive solutions of nonlinear fractional q-difference equation with parameter. Advances in Difference Equations 2013:1.
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Changlong Yu & Jufang Wang. (2013) Existence of solutions for nonlinear second-order q-difference equations with first-order q-derivatives. Advances in Difference Equations 2013:1.
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