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Controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces. (English) Zbl 1231.93016

Summary: We establish a sufficient condition for the controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces. The results are obtained by using Banach’s contraction fixed point theorem combined with the fractional calculus theory.

MSC:

93B05 Controllability
93C15 Control/observation systems governed by ordinary differential equations
34G20 Nonlinear differential equations in abstract spaces
34A37 Ordinary differential equations with impulses
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