A Study of solutions of abstract fractional integro differential equations

Abstract

In this paper we discuss about the solution of abstract fractional integro differential equations with different conditions on the operator A. The solution obtained by using Mittag-Leffler function is correct when the operator A is bounded. However when the operator A is unbounded the representation derived in [1] seems to be incorrect. We also obtain a suitable form of solution to stochastic fractional differential equation with unbounded operators.