Dimplekumar N. Chalishajar, Kandasamy Malar, Kulandhivel Karthikeyan
Abstract:
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.
Submitted July 26, 2013. Published December 18, 2013.
Math Subject Classifications: 34A37, 34K30, 47D09, 93C15.
Key Words: Impulsive conditions; approximate controllability;
neutral evolution equations; phase space.
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Dimplekumar N. Chalishajar Department of Mathematics and Computer Science Virginia Military Institute (VMI) 417, Mallory Hall, Lexington, VA 24450, USA email: dipu17370@yahoo.com, chalishajardn@vmi.edu |
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Kandasamy Malar Department of Mathematics, Erode Arts and Science College Erode 638 009, Tamil Nadu. India email: malarganesaneac@gmail.com |
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Kulandhivel Karthikeyan Department of Mathematics, K.S.R. College of Technology Tiruchengode 637 215, Tamil Nadu, India email: karthi_phd2010@yahoo.co.in |
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