Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

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.

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S. Tafesse and N. Sukavanam, "Approximate Controllability of Fractional Order Retarded Semilinear Control Systems," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 3, 2013, pp. 153-160. doi: 10.4236/ijmnta.2013.23020.

Conflicts of Interest

The authors declare no conflicts of interest.

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