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Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. (English) Zbl 1424.93019

Summary: This paper describes the controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Necessary and sufficient conditions for the controllability criteria for linear fractional delay system are established. Further sufficient conditions for the controllability of nonlinear fractional delay integrodifferential system are obtained by using fixed point arguments. Examples are provided to illustrate the results.

MSC:

93B05 Controllability
26A33 Fractional derivatives and integrals
93C15 Control/observation systems governed by ordinary differential equations
45J05 Integro-ordinary differential equations
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