Author:
El-Sayed Ahmed M. A.,Fouad Hoda A.
Abstract
In this paper, we are concerned with the combinations of the stochastic Itô-differential and the arbitrary (fractional) orders derivatives in a neutral differential equation with a stochastic, nonlinear, nonlocal integral condition. The existence of solutions will be proved. The sufficient conditions for the uniqueness of the solution will be given. The continuous dependence of the unique solution will be studied.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference27 articles.
1. Coupled nonlinear stochastic differential equations
2. On some stochastic fractional integro-differential equations;Elborai;Adv. Dyn. Syst. Appl.,2006
3. Random Differential Equations in Science and Engineering;Soong,1973
4. On a stochastic fractional calculus;Hafez;Fractional Calculus Appl. Anal.,2001
5. The Fractional Calculus for Some Stochastic Processes
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