Approximate controllability of abstract impulsive fractional neutral evolution equations with infinite delay in Banach spaces

Autor: Dimplekumar N. Chalishajar, Kandasamy Malar, Kulandhivel Karthikeyan
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2013, Iss 275,, Pp 1-21 (2013)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we study the approximate controllability of impulsive abstract fractional neutral evolution equations in Banach spaces. The main results are obtained by using Krasnoselkii's fixed point theorem, fractional calculus and methods of controllability theory. An application is provided to illustrate the theory. Here we have provided new definition of phase space for the impulsive and infinite delay term. Our result is new for the approximate controllability with infinite delay in Hilbert space.
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