Existence of solutions for impulsive hybrid boundary value problems to fractional differential systems

In this paper, the existence of solutions for impulsive mixed boundary value problems involving Caputo fractional derivatives is obtained. And then, our conclusions are based on Krasnoselskii's fixed point theorem and Arzela-Ascoli theorem. Finally, some examples are given to illustrate the mai...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 8; pp. 8895 - 8911
Main Authors Yang, Jie, Chen, Guoping
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
existence and uniqueness of solutions
fixed point theorem
impulsive fractional differential equations
mixed boundary value
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Summary:In this paper, the existence of solutions for impulsive mixed boundary value problems involving Caputo fractional derivatives is obtained. And then, our conclusions are based on Krasnoselskii's fixed point theorem and Arzela-Ascoli theorem. Finally, some examples are given to illustrate the main results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021516