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

Jie Yang; Guoping Chen; Jie Yang; Guoping Chen

doi:10.3934/math.2021516

AIMS Mathematics

2021, Volume 6, Issue 8: 8895-8911. doi: 10.3934/math.2021516

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

Jie Yang ,
Guoping Chen ^,

College of Mathematics and Statistics, Jishou University, Jishou 416000, China

Received: 28 April 2021 Accepted: 07 June 2021 Published: 15 June 2021
MSC : 34A08, 34B15

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.
- impulsive fractional differential equations,
- mixed boundary value,
- existence and uniqueness of solutions,
- fixed point theorem
Citation: Jie Yang, Guoping Chen. Existence of solutions for impulsive hybrid boundary value problems to fractional differential systems[J]. AIMS Mathematics, 2021, 6(8): 8895-8911. doi: 10.3934/math.2021516

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Abstract

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.

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