Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

Simegne Tafesse, Nagarajan Sukavanam

Department of Mathematics, Haramaya University, Dire Dawa, Ethiopia.
Department of Mathematics, Indian Institute Technology Roorkee (IITR), Roorkee, India.

DOI: 10.4236/ijmnta.2013.23020                

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.

Keywords

Approximate Controllability; Fractional Order; Existence and Uniqueness, Retarded; Semilinear System; Integral Contractor

Conflicts of Interest

The authors declare no conflicts of interest.

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