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

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 th...

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Bibliographic Details
Published inDemonstratio mathematica Vol. 52; no. 1; pp. 283 - 295
Main Authors Ahmad, Manzoor, Zada, Akbar, Alzabut, Jehad
Format Journal Article
LanguageEnglish
Published De Gruyter 01.01.2019
Subjects
26A33
34A08
34B27
Hilfer-Hadamard type fractional differential equations
Hyers-Ulam stability
implicit switched coupled systems
Kransnoselskii’s fixed point theorem
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Summary: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.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2019-0024