Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Published:2019-01-01 Issue:1 Volume:52 Page:283-295
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Ahmad Manzoor¹,Zada Akbar¹,Alzabut Jehad²

Affiliation:

1. Department of Mathematics , University of Peshawar , Peshawar 25000 , Pakistan

2. Department of Mathematics and General Sciences , Prince Sultan University , 11586 Riyadh , Saudi Arabia

Abstract

Abstract In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem. Different types of Hyers–Ulam stability are also discussed.We provide an example demonstrating consistency to the theoretical findings.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0024/pdf

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