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Approximate controllability for a class of fractional evolution equations with nonlocal integral boundary conditions. (English) Zbl 1463.93020

Summary: Based on the assumption that the corresponding linear system is approximately controllable, the existence of mild solution and the approximate controllability are proved for a class of fractional evolution equations with nonlocal integral boundary conditions by using Schauder fixed point theorem.

MSC:

93B05 Controllability
37L05 General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations
26A33 Fractional derivatives and integrals
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