Existence of Solutions for Fractional Integro-Differential Equations with Impulsive and Integral Conditions
Year: 2019
Author: Yanpeng Hao, Qiaoluan Li
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 221–235
Abstract
This paper presents the existence of solutions for a class of Cauchy problems with integral condition for impulsive fractional integro-differential equations. Based on definition of solution for impulsive fractional integro-differential equations, the existence theorems of solutions of fractional differential equation are obtained by applying fixed point methods. Finally, three examples are given to demonstrate the feasibility of the obtained results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.221
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 221–235
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Existence of solutions impulsive fractional differential equations fixed point theorems.