International Journal of Modern Nonlinear Theory and Application
Volume 2, Issue 3 (September 2013)
ISSN Print: 2167-9479 ISSN Online: 2167-9487
Google-based Impact Factor: 0.27 Citations
Approximate Controllability of Fractional Order Retarded Semilinear Control Systems ()
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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.
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