Open Access
2013 Approximate Controllability of Fractional Integrodifferential Evolution Equations
R. Ganesh, R. Sakthivel, N. I. Mahmudov, S. M. Anthoni
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/291816


This paper addresses the issue of approximate controllability for a class of control system which is represented by nonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results are established under the assumption that the corresponding linear system is approximately controllable and functions satisfy non-Lipschitz conditions. The results generalize and improve some known results.


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R. Ganesh. R. Sakthivel. N. I. Mahmudov. S. M. Anthoni. "Approximate Controllability of Fractional Integrodifferential Evolution Equations." J. Appl. Math. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.93019
MathSciNet: MR3056238
Digital Object Identifier: 10.1155/2013/291816

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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