Existence, Uniqueness and Stability of Implicit Switched Coupled Fractional Differential Equations of ψ$\boldsymbol{\psi}$-Hilfer Type-Reference-Cited by-同舟云学术

Existence, Uniqueness and Stability of Implicit Switched Coupled Fractional Differential Equations of ψ$\boldsymbol{\psi}$-Hilfer Type

Published:2020-02-19 Issue:3-4 Volume:21 Page:327-337
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Ahmad Manzoor¹,Zada Akbar²^ORCID,Wang Xiaoming³

Affiliation:

1. Department of Mathematics , University of Peshawar , Peshawar , Pakistan

2. Department of Mathematics , University of Peshawar , Peshawar 25120 , Pakistan

3. School of Mathematics & Computer Science , Shangrao Normal University , Shangrao , Jiangxi 334001 , China

Abstract

Abstract In this article, we study the existence and uniqueness of solutions of a switched coupled implicit ψ-Hilfer fractional differential system. The existence and uniqueness results are obtained by using fixed point techniques. Further, we investigate different kinds of stability such as Hyers–Ulam stability and Hyers–Ulam–Rassias stability. Finally, an example is provided to illustrate the obtained results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2018-0371/pdf

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