Approximate Controllability of Fractional Nonlocal Delay Semilinear Systems in Hilbert Spaces

Abstract

We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using semigroup theory, fractional calculus, and Schauder's fixed point theorem. Multi-delay controls and a fractional nonlocal condition are introduced. Furthermore, we present an appropriate set of sufficient conditions for the considered fractional nonlocal multi-delay control system to be approximately controllable. An example to illustrate the abstract results is given.

This is a preprint of a paper whose final and definitive form will appear in the International Journal of Control. Paper submitted 24-Sep-2012; revised 28-Feb-2013; accepted for publication 29-Mar-2013

References in corpus (1)

• Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems

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