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

Manzoor Ahmad; Akbar Zada; Jehad Alzabut

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

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

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摘要

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.

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来源
《Demonstratio Mathematica》 |2019年第1期|283-295|共13页
作者
Manzoor Ahmad; Akbar Zada; Jehad Alzabut;
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作者单位

Department of Mathematics, University of Peshawar;

Department of Mathematics and General Sciences, Prince Sultan University;

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正文语种英语
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Hilfer-Hadamard type fractional differential equations; Kransnoselskii’s fixed point theorem; implicit switched coupled systems; Hyers-Ulam stability;

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

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