Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces

We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllab...

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Bibliographic Details
Published in:	Abstract and Applied Analysis Vol. 2013; no. 2013; pp. 544 - 554-661
Main Author:	Mahmudov, Nazim Idrisoglu
Format:	Journal Article
Language:	English
Published:	Cairo, Egypt Hindawi Limiteds 01-01-2013 Hindawi Puplishing Corporation Hindawi Publishing Corporation John Wiley & Sons, Inc Hindawi Limited
Subjects:	Approximation Approximation theory Calculus Controllability Delay Differential equations Evolution Evolutionary algorithms Linear systems Mathematical analysis Mathematical research Turkey
Online Access:	Get full text
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Summary:	We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional neutral differential equations with infinite delay are formulated and proved. The results of the paper are generalization and continuation of the recent results on this issue.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2013/531894