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Existence and controllability result for an evolution fractional integrodifferential systems. (English) Zbl 1206.93015

Summary: We study the existence and the controllability of fractional evolution integrodifferential systems in Banach spaces. The results are obtained with the help of resolvent operators, fractional calculus and a fixed point analysis approach.

MSC:

93B05 Controllability
26A33 Fractional derivatives and integrals
34G20 Nonlinear differential equations in abstract spaces
34K37 Functional-differential equations with fractional derivatives
47H10 Fixed-point theorems