STABILITY IN VOLTERRA INTEGRAL EQUATIONS OF FRACTIONAL ORDER WITH CONTROL VARIABLE

Abstract

In this paper, we study the stability of solutions of a nonlinear functional integral equation of fractional order with control variable. The equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. Existence of a control variable provides the extension of some previous results obtains in other studies. We will also include an example in order to indicate the validity of the assumptions.