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 |