Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses

This paper deals with periodic BVP for integer/fractional order differential equations with a deviated argument and integrable impulses in arbitrary Banach space X for which the impulses are not instantaneous. By utilizing fixed point theorems, we firstly establish the existence and uniqueness of th...

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Autores principales:	Chadha,Alka, Pandey,Dwijendra N
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Deviating arguments Fixed point theorem Impulsive differential equation Periodic BVP Fractional calculus
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100002
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spelling	oai:scielo:S0719-064620150001000022018-10-08Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulsesChadha,AlkaPandey,Dwijendra N Deviating arguments Fixed point theorem Impulsive differential equation Periodic BVP Fractional calculus This paper deals with periodic BVP for integer/fractional order differential equations with a deviated argument and integrable impulses in arbitrary Banach space X for which the impulses are not instantaneous. By utilizing fixed point theorems, we firstly establish the existence and uniqueness of the mild solution for the integer order differential system and secondly obtain the existence results for the mild solution to the fractional order differential system. Also at the end, we present some examples to show the effectiveness of the discussed abstract theory.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.1 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100002en10.4067/S0719-06462015000100002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Deviating arguments Fixed point theorem Impulsive differential equation Periodic BVP Fractional calculus
spellingShingle	Deviating arguments Fixed point theorem Impulsive differential equation Periodic BVP Fractional calculus Chadha,Alka Pandey,Dwijendra N Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
description	This paper deals with periodic BVP for integer/fractional order differential equations with a deviated argument and integrable impulses in arbitrary Banach space X for which the impulses are not instantaneous. By utilizing fixed point theorems, we firstly establish the existence and uniqueness of the mild solution for the integer order differential system and secondly obtain the existence results for the mild solution to the fractional order differential system. Also at the end, we present some examples to show the effectiveness of the discussed abstract theory.
author	Chadha,Alka Pandey,Dwijendra N
author_facet	Chadha,Alka Pandey,Dwijendra N
author_sort	Chadha,Alka
title	Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
title_short	Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
title_full	Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
title_fullStr	Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
title_full_unstemmed	Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
title_sort	periodic bvp for a class of nonlinear differential equation with a deviated argument and integrable impulses
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100002
work_keys_str_mv	AT chadhaalka periodicbvpforaclassofnonlineardifferentialequationwithadeviatedargumentandintegrableimpulses AT pandeydwijendran periodicbvpforaclassofnonlineardifferentialequationwithadeviatedargumentandintegrableimpulses
_version_	1714206791258079232

Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses

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