Caputo-Fabrizio fractional differential equations with instantaneous impulses-Reference-Cited by-同舟云学术

Caputo-Fabrizio fractional differential equations with instantaneous impulses

Published:2021 Issue:3 Volume:6 Page:2932-2946
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Abbas Saïd, ,Benchohra Mouffak,Nieto Juan J., ,

Abstract

<abstract><p>The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are the subject of the last section.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference29 articles.

1. S. Abbas, M. Benchohra, J. R. Graef, J. Henderson, Implicit fractional differential and integral equations: Existence and stability, De Gruyter, Berlin, 2018.

2. S. Abbas, M. Benchohra, J. Graef, J. E. Lazreg, Implicit Hadamard fractional differential equations with impulses under weak topologies, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 26 (2019), 89–112.

3. S. Abbas, M. Benchohra, G. M. N'Guérékata, Topics in fractional differential equations, Springer, New York, 2012.

4. S. Abbas, M. Benchohra, G. M. N'Guérékata, Advanced fractional differential and integral equations, Nova Science Publishers, New York, 2015.

5. B. Acay, R. Ozarslan, E. Bas, Fractional physical models based on falling body problem, AIMS Math., 5 (2020), 2608–2628.

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional Differential Equations with Impulsive Effects;Fractal and Fractional;2024-08-26

2. ON THE INITIAL VALUE PROBLEMS FOR NEUTRAL INTEGRO-DIFFERENTIAL SYSTEM WITHIN EXPONENTIAL KERNEL;Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application;2024-06-06

3. New Results for Existence, Uniqueness, and Ulam Stable Theorem to Caputo–Fabrizio Fractional Differential Equations with Periodic Boundary Conditions;International Journal of Applied and Computational Mathematics;2024-05-11

4. A robust stability criterion in the one-dimensional subdiffusion equation with Caputo–Fabrizio fractional derivative;Ricerche di Matematica;2024-04-15

5. Efficient techniques for nonlinear dynamics: a study of fractional generalized quintic Ginzburg-Landau equation;Journal of Taibah University for Science;2024-03-25