On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Abstract In this paper, we prove the existence of mild solution of the fractional integro-differential equations with state-dependent delay with not instantaneous impulses. The existence results are obtained under the conditions in respect of Kuratowski’s measure of noncompactness. An example is also given to illustrate the results.

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Bibliographic Details
Main Authors: Aissani,Khalida, Benchohra,Mouffak, Benkhettou,Nadia
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100061
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Summary:Abstract In this paper, we prove the existence of mild solution of the fractional integro-differential equations with state-dependent delay with not instantaneous impulses. The existence results are obtained under the conditions in respect of Kuratowski’s measure of noncompactness. An example is also given to illustrate the results.