Solvability and Optimal Control of Nonautonomous Fractional Dynamical Systems of Neutral-Type with Nonlocal Conditions

Abstract

This paper discusses the solvability and existence of optimal controls of nonautonomous fractional dynamical systems of neutral-type in a general Banach space�X�along with nonlocal condition. We employ the Banach contraction principle, the classical semigroup theory, and the techniques of fractional calculus to establish the main results. The distinguish features of the presented work are that we establish the main results without imposing the compactness condition on semigroup, the continuity of linear operators��and the strong continuity of operator�D. At the end, an example is considered to demonstrate the developed results.