On the Existence, Uniqueness and Stability Behavior of a Random Solution to a Non local Perturbed Stochastic Fractional Integro-Differential Equation
نویسندگان
چکیده
In this paper, we prove the existence and uniqueness of a nonlinear perturbed stochastic fractional integro-differential equation of Volterra-Itô type involving nonlocal initial condition by using the theory of admissibility of integral operator and Banach fixed-point principle. Also the stability and boundedness of the second moments of the stochastic solution are studied. In addition, an application to fractional stochastic feedback system is presented. [Mahmoud M. El-Borai, M.A.Abdou, Mohamed Ibrahim M. Youssef. On the Existence, Uniqueness and Stability Behavior of a Random Solution to a Non local Perturbed Stochastic Fractional Integro-Differential Equation. Life Sci J 2013; 10(4): 3368-3376]. (ISSN:1097-8135). http://www.lifesciencesite.com 448
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