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Controllability for impulsive fractional evolution equations with state-dependent delay. (English) Zbl 1397.34133

Summary: In this paper, we prove the controllability for a class of impulsive fractional evolution equations with state-dependent delay in a Banach space. Our study is based on the Sadovskii’s fixed point theorem. For the illustration of the main result, an example is given.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K35 Control problems for functional-differential equations
93B05 Controllability
34K45 Functional-differential equations with impulses
47N20 Applications of operator theory to differential and integral equations