On the Approximate Controllability of Fractional Evolution Equations with Generalized Riemann-Liouville Fractional Derivative

We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder fixed point theorem under the assumption that th...

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Bibliographic Details
Published in:	Journal of function spaces Vol. 2015; no. 2015; pp. 1 - 9
Main Authors:	Mahmudov, Nazim Idrisoglu, McKibben, Mark A.
Format:	Journal Article
Language:	English
Published:	Cairo, Egypt Hindawi Publishing Corporation 01-01-2015 Hindawi Limited
Subjects:	Approximation Banach spaces Calculus Control systems Controllability Derivatives Evolution Hilbert space Linear systems Mathematical analysis Partial differential equations Quantum theory Studies
Online Access:	Get full text
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Summary:	We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder fixed point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the abstract theory.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	2314-8896 2314-8888
DOI:	10.1155/2015/263823