Optimal control of systems governed by impulsive fractional integro-differential equations

Abstract

In this thesis, the system governed by the fractional integro-differential equations with time delays are considered, the local and global existences and uniqueness of mild solution with respect to the control in the admissible control set describing by the solution operator and also describing by the C0-semigroup on Banach space are proved. The results are used extending to the fractional integro-differential equations with impulses. Also, the piecewise continuous mild solutions for the impulsive system with respect to the control in the admissible control set are proved. Furthermore, the optimal control problems of all systems are solved and the results are clarified by some examples.