Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

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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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