STABILITY ANALYSIS OF A NONLOCAL FRACTIONAL IMPULSIVE COUPLED EVOLUTION DIFFERENTIAL EQUATION

Manzoor Ahmad; Akbar Zada; Wei Dong; Jiafa Xu

doi:10.11948/20190201

2021 Volume 11 Issue 1

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Manzoor Ahmad, Akbar Zada, Wei Dong, Jiafa Xu. STABILITY ANALYSIS OF A NONLOCAL FRACTIONAL IMPULSIVE COUPLED EVOLUTION DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 138-160. doi: 10.11948/20190201

Citation:

Manzoor Ahmad, Akbar Zada, Wei Dong, Jiafa Xu. STABILITY ANALYSIS OF A NONLOCAL FRACTIONAL IMPULSIVE COUPLED EVOLUTION DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 138-160. doi: 10.11948/20190201

STABILITY ANALYSIS OF A NONLOCAL FRACTIONAL IMPULSIVE COUPLED EVOLUTION DIFFERENTIAL EQUATION

1.
Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
2.
Hebei University of Engineering, Handan, Hebei 056021, China
3.
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Author Bio: Email address: manzoor230ahmad@gmail.com(M. Ahmad); Email address: zadababo@yahoo.com(A. Zada); Email address: xujiafa292@sina.com (J. Xu)
Corresponding author: Email address: dongweihd@163.com (W.Dong)
Fund Project: The authors were supported by the National Natural Science Foundation of China(No. 11371117), the China Postdoctoral Science Foundation (No. 2019M652348), Technology Research Foundation of Chongqing Educational Committee(No. KJQN201900539)

Abstract

Abstract

This work is committed to establish the necessary assumptions related with the existence and uniqueness of solutions to a nonlocal coupled impulsive fractional differential equation. We attain our main results by the use of Krasnoselskii's fixed point theorem and Banach contraction principle. Additionally, we create a framework for studying the Hyers-Ulam stability of the considered problem. For the applications of theoretical result, we discuss an example at the end.
- Caputo fractional derivative /
- Hyers-Ulam stability /
- impulsive switched coupled system
MSC: 26A33, 34A08, 34B27

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References

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