Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses

Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses

Abstract This paper considers the boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses. Some sufficient conditions of the existence and uniqueness are obtained by means of the Banach contraction principle and Leray–Schau...

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Bibliographic Details
Main Authors: Kaihong Zhao, Leping Suo, Yongzhi Liao
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Boundary Value Problems
Subjects:
Boundary value problem
Hadamard fractional differential coupled system
Impulses
Leray–Schauder alternative theorem
Existence and uniqueness
Online Access:http://link.springer.com/article/10.1186/s13661-019-1219-8
Description
Summary:Abstract This paper considers the boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses. Some sufficient conditions of the existence and uniqueness are obtained by means of the Banach contraction principle and Leray–Schauder alternative. We also give some interesting examples to illustrate the effectiveness of our main results.
ISSN:1687-2770

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