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Approximate Controllability of Fractional Order Retarded Semilinear Control Systems
Department of Mathematics, Haramaya University, Dire Dawa, Ethiopia
Department of Mathematics, Indian Institute Technology Roorkee (IITR), Roorkee, India
- 1 Department of Mathematics, Haramaya University, Dire Dawa, Ethiopia
- 2 Department of Mathematics, Indian Institute Technology Roorkee (IITR), Roorkee, India
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 153–160·Published 19 August 2013·DOI10.4236/ijmnta.2013.23020
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Abstract
In this paper , approximate controllability of fractional order retarded semilinear systems is studied when the nonlinear term satisfies the newly formulated bounded integral contractor-type conditions. We have shown the existence and uniqueness of the mild solution for the fractional order retarded semilinear systems using an iterative procedure approach. Finally , we obtain the approximate controllability results of the system under simple condition.
KeywordsApproximate ControllabilityFractional OrderExistence and UniquenessRetardedSemilinear SystemIntegral Contractor
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