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 exam...

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Auteurs principaux:	Aissani,Khalida, Benchohra,Mouffak, Benkhettou,Nadia
Langue:	English
Publié:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Sujets:	Non-instantaneous impulsive conditions fractional integro-differential equations Caputo fractional derivative mild solution fixed point state-dependent delay
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100061
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spelling	oai:scielo:S0719-064620190001000612019-08-09On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous ImpulsesAissani,KhalidaBenchohra,MouffakBenkhettou,Nadia Non-instantaneous impulsive conditions fractional integro-differential equations Caputo fractional derivative mild solution fixed point state-dependent delay 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.1 20192019-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100061en10.4067/S0719-06462019000100061
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Non-instantaneous impulsive conditions fractional integro-differential equations Caputo fractional derivative mild solution fixed point state-dependent delay
spellingShingle	Non-instantaneous impulsive conditions fractional integro-differential equations Caputo fractional derivative mild solution fixed point state-dependent delay Aissani,Khalida Benchohra,Mouffak Benkhettou,Nadia On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
description	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.
author	Aissani,Khalida Benchohra,Mouffak Benkhettou,Nadia
author_facet	Aissani,Khalida Benchohra,Mouffak Benkhettou,Nadia
author_sort	Aissani,Khalida
title	On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
title_short	On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
title_full	On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
title_fullStr	On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
title_full_unstemmed	On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
title_sort	on fractional integro-differential equations with state-dependent delay and non-instantaneous impulses
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100061
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On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

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