Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On a Coupled System of Random and Stochastic Differential Equations with Nonlocal Stochastic Integral Conditions

Version 1 : Received: 3 July 2021 / Approved: 5 July 2021 / Online: 5 July 2021 (14:42:05 CEST)

A peer-reviewed article of this Preprint also exists.

El-Sayed, A.M.A.; Fouad, H.A. On a Coupled System of Random and Stochastic Nonlinear Differential Equations with Coupled Nonlocal Random and Stochastic Nonlinear Integral Conditions. Mathematics 2021, 9, 2111. El-Sayed, A.M.A.; Fouad, H.A. On a Coupled System of Random and Stochastic Nonlinear Differential Equations with Coupled Nonlocal Random and Stochastic Nonlinear Integral Conditions. Mathematics 2021, 9, 2111.

Journal reference: Mathematics 2021, 9, 2111
DOI: 10.3390/math9172111

Abstract

Here we are concerning with two problems of a coupled system of random and stochastic nonlinear differential equations with two coupled systems of nonlinear nonlocal random and stochastic integral conditions. The existence of solutions will be studied. The sufficient condition for the uniqueness of the solution will be given. The continuous dependence of the unique solution on the nonlocal conditions will be proved.

Keywords

Stochastic processes; stochastic differential equation; coupled system; nonlocal stochastic integral conditions.

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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