Approximate Controllability of Semilinear Fractional Differential Systems of Order 1 < q < 2 via Resolvent Operators

Abstract

Under the compact assumption on resolvent,
some properties on relevant operators generated by resolvent are given. And,
existence results of fractional control system
are obtained by using the Schauder's fixed point theorem
and approximate techniques. Furthermore,
the approximately controllable result
is acquired under the assumption that the corresponding linear system is approximately controllable,
which improves and extends some result on this topic.