Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces

Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces

This paper is concerned with the controllability problem for a class of mixed type impulsive fractional integro-differential equations in Banach spaces. Sufficient conditions for the controllability result are established by using suitable fixed point theorem combined with the fractional calculus th...

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Main Authors: C. Ravichandran, J. J. Trujillo
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/812501
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spelling doaj-f7d818d986c44a6da9c258951cfbd6492020-11-24T20:51:28ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/812501812501Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach SpacesC. Ravichandran0J. J. Trujillo1Department of Mathematics, RVS Faculty of Engineering, RVS Technical Campus, Coimbatore 641 402, Tamil Nadu, IndiaDepartamento de Análisis Matemático, University of La Laguna, 38271 La Laguna, Tenerife, SpainThis paper is concerned with the controllability problem for a class of mixed type impulsive fractional integro-differential equations in Banach spaces. Sufficient conditions for the controllability result are established by using suitable fixed point theorem combined with the fractional calculus theory and solution operator under some weak conditions. The example is given in illustrate the theory. The results of this article are generalization and improved of the recent results on this issue.http://dx.doi.org/10.1155/2013/812501
collection DOAJ
language English
format Article
sources DOAJ
author C. Ravichandran
J. J. Trujillo
spellingShingle C. Ravichandran
J. J. Trujillo
Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
Journal of Function Spaces and Applications
author_facet C. Ravichandran
J. J. Trujillo
author_sort C. Ravichandran
title Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
title_short Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
title_full Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
title_fullStr Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
title_full_unstemmed Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
title_sort controllability of impulsive fractional functional integro-differential equations in banach spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description This paper is concerned with the controllability problem for a class of mixed type impulsive fractional integro-differential equations in Banach spaces. Sufficient conditions for the controllability result are established by using suitable fixed point theorem combined with the fractional calculus theory and solution operator under some weak conditions. The example is given in illustrate the theory. The results of this article are generalization and improved of the recent results on this issue.
url http://dx.doi.org/10.1155/2013/812501
work_keys_str_mv AT cravichandran controllabilityofimpulsivefractionalfunctionalintegrodifferentialequationsinbanachspaces
AT jjtrujillo controllabilityofimpulsivefractionalfunctionalintegrodifferentialequationsinbanachspaces
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