Existence of solutions for fractional order impulsive differential equations with integral boundary conditions
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Published:2021-03-24
Issue:
Volume:
Page:002072092110020
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ISSN:0020-7209
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Container-title:The International Journal of Electrical Engineering & Education
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language:en
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Short-container-title:The International Journal of Electrical Engineering & Education
Affiliation:
1. Department of Mathematics, Cangzhou Normal University, Cangzhou, P. R. China
Abstract
In this paper, we prove the expression and the existence of a class of nonlinear impulsive fractional order differential equations with integral boundary conditions. The unique solution of the differential equations by Green’s function is given. By using Schauder fixed point theorem and Leray-Schauder fixed point theorem, several sufficient conditions for the existence and uniqueness results are established.
Funder
Natural Science Foundation of Cangzhou City
Publisher
SAGE Publications
Subject
Electrical and Electronic Engineering,Education