Approximate Controllability of Semilinear Fractional Control Systems of Order alpha is an element of(1,2] with Infinite Delay

摘要

The objective of this paper is to present some sufficient conditions for approximate controllability of semilinear fractional control system of order with infinite delay. The results are obtained by the theory of strongly continuous -order cosine family and sequence method. At the end, an example is given to illustrate the theory.