Geodesic
Approximate controllability of abstract impulsive fractional neutral evolution equations with infinite delay in Banach spaces
Electronic Journal of Differential Equations, Tome 2013 (2013).

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Summary: 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.
Classification : 34A37, 34K30, 47D09, 93C15
Keywords: impulsive conditions, approximate controllability, neutral evolution equations, phase space 
@article{EJDE_2013__2013__a69,
     author = {Chalishajar, Dimplekumar N. and Malar, Kandasamy and Karthikeyan, Kulandhivel},
     title = {Approximate controllability of abstract impulsive fractional neutral evolution equations with infinite delay in {Banach} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a69/}
}
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Chalishajar, Dimplekumar N.; Malar, Kandasamy; Karthikeyan, Kulandhivel. Approximate controllability of abstract impulsive fractional neutral evolution equations with infinite delay in Banach spaces. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a69/