A Study of solutions of abstract fractional integro differential equations

Kulandhivel Karthikeyan; D Senthil Raja; P Sundararajan

Kulandhivel Karthikeyan Department of Mathematics, \& Centre for Research and Development,\\ KPR Institute of Engineering and Technology,
D Senthil Raja
P Sundararajan

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.