### AIMS Mathematics

2021, Issue 8: 8895-8911. doi: 10.3934/math.2021516
Research article Special Issues

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

• 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.

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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• 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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