Existence and stability of impulsive coupled system of fractional integrodifferential equations

Akbar Zada; Hira Waheed; Jehad AlzabutXiaoming Wang

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Existence and stability of impulsive coupled system of fractional integrodifferential equations

机译：Existence and stability of impulsive coupled system of fractional integrodifferential equations

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摘要

In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. Hyers–Ulam stability is investigated by using classical technique of nonlinear functional analysis. Finally, we provide illustrative examples to support our obtained results.

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来源
《Demonstratio Mathematica》 |2019年第1期|296-335|共40页
作者
Akbar Zada; Hira Waheed; Jehad AlzabutXiaoming Wang;
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作者单位

Department of Mathematics, University of Peshawar;

Department of Mathematics and General Sciences, Prince Sultan University;

School of Mathematics & Computer Science, Shangrao Normal University;

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正文语种英语
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Caputo fractional derivative; impulsive condition; existence and uniqueness theory; Hyers–Ulam stability;

Existence and stability of impulsive coupled system of fractional integrodifferential equations

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