On the approximate controllability of fractional evolution equations with compact analytic semigroup

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Elsevier Science Bv

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info:eu-repo/semantics/closedAccess

Abstract

In this paper we discuss the approximate controllability of fractional evolution equations involving Caputo fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory and the Schauder's fixed point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained results. (C) 2013 Elsevier B.V. All rights reserved.

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16th International Congress on Computational and Applied Mathematics (ICCAM) -- JUL 09-13, 2012 -- Ghent, BELGIUM

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Approximate controllability, Fractional differential equations, Compact operators, Semigroup theory

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Journal of Computational and Applied Mathematics

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259

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