On the approximate controllability of fractional evolution equations with compact analytic semigroup

摘要

In this paper we discuss the approximate controllability of fractional evolution equations involving Caputo fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory and the Schauder’s fixed point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained results.