Coupled implicit Caputo fractional q-difference systems-Reference-Cited by-同舟云学术

Coupled implicit Caputo fractional q-difference systems

Published:2019-12 Issue:1 Volume:2019 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Abbas Saïd,Benchohra Mouffak,Samet Bessem,Zhou Yong^ORCID

Abstract

AbstractThis paper deals with some existence, uniqueness, and Ulam stability results for a coupled implicit Caputo fractional q-difference system in Banach and generalized Banach spaces. Some applications are made of some fixed point theorems for the existence and uniqueness of solutions. Next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Some illustrative examples are given in the last section.

Funder

National Natural Science Foundation of China

Macau Science and Technology Development Fund

Researchers Supporting Project, King Saud University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-019-2433-5.pdf

Reference47 articles.

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2. Abbas, S., Al Arifi, N., Benchohra, M., Zhou, Y.: Random coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces. Mathematics 7, Article ID 285 (2019)

3. Abbas, S., Albarakati, W., Benchohra, M., N’Guérékata, G.M.: Existence and Ulam stabilities for Hadamard fractional integral equations in Fréchet spaces. J. Fract. Calc. Appl. 7(2), 1–12 (2016)

4. Abbas, S., Benchohra, M., Graef, J.R., Henderson, J.: Implicit Fractional Differential and Integral Equations: Existence and Stability. de Gruyter, Berlin (2018)

5. Abbas, S., Benchohra, M., N’Guérékata, G.M.: Topics in Fractional Differential Equations. Springer, New York (2012)

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