On solvability of BVP for a coupled Hadamard fractional systems involving fractional derivative impulses-Reference-Cited by-同舟云学术

On solvability of BVP for a coupled Hadamard fractional systems involving fractional derivative impulses

Published:2022 Issue:10 Volume:7 Page:19221-19236
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Huang Hui¹,Zhao Kaihong²,Liu Xiuduo³

Affiliation:

1. School of Science, Shaoyang University, Shaoyang 422000, Hunan, China

2. Department of Mathematics, School of Electronics & Information Engineering, Taizhou University, Taizhou 318000, Zhejiang, China

3. Puyang Petrochemical Vocational and Technical College, Puyang 457001, Henan, China

Abstract

<abstract><p>Hadamard fractional calculus is one of the most important fractional calculus theories. Compared with a single Hadamard fractional order equation, Hadamard fractional differential equations have a more complex structure and a wide range of applications. It is difficult and challenging to study the dynamic behavior of Hadamard fractional differential equations. This manuscript mainly deals with the boundary value problem (BVP) of a nonlinear coupled Hadamard fractional system involving fractional derivative impulses. By applying nonlinear alternative of Leray-Schauder, we find some new conditions for the existence of solutions to this nonlinear coupled Hadamard fractional system. Our findings reveal that the impulsive function and its impulsive point have a great influence on the existence of the solution. As an application, we discuss an interesting example to verify the correctness and validity of our results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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