Approximate Controllability of Fractional Integrodifferential Evolution Equations | Zendy

R. Ganesh | Zendy; R. Sakthivel | Zendy; Nazım I. Mahmudov | Zendy; S. Marshal Anthoni | Zendy

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Approximate Controllability of Fractional Integrodifferential Evolution Equations

Author(s) -

R. Ganesh,

R. Sakthivel,

Nazım I. Mahmudov,

S. Marshal Anthoni

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/291816

Subject(s) - controllability , mathematics , lipschitz continuity , semigroup , nonlinear system , class (philosophy) , fractional calculus , set (abstract data type) , mathematical analysis , computer science , physics , programming language , quantum mechanics , artificial intelligence

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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