A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process

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Aryani Elnaz; BABAEI AFSHIN; Valinejad Ali

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2022 | Volume:10 | Issue:1 Page(s): 61-76

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Title

A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process

Author(s)

Aryani Elnaz | BABAEI AFSHIN | Valinejad Ali | Issue Writer Certificate

Keywords

Stochastic process

Brownian motion

Caputo's derivative

Modi

ed hat functions

Error estimate

Abstract

This paper deals with the numerical solution of nonlinear fractional stochastic integro-differential equations with the n-dimensional Wiener process. A new computational method is employed to approximate the solution of the considered problem. This technique is based on the Modi, ed hat functions, the Caputo derivative, and a suitable numerical integration rule. Error estimate of the method is investigated in detail. In the end, illustrative examples are included to demonstrate the validity and effectiveness of the presented approach.

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APA: Copy

Aryani, Elnaz, BABAEI, AFSHIN, & Valinejad, Ali. (2022). A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(1), 61-76. SID. https://sid.ir/paper/1057282/en

Vancouver: Copy

Aryani Elnaz, BABAEI AFSHIN, Valinejad Ali. A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(1):61-76. Available from: https://sid.ir/paper/1057282/en

IEEE: Copy

Elnaz Aryani, AFSHIN BABAEI, and Ali Valinejad, “A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 1, pp. 61–76, 2022, [Online]. Available: https://sid.ir/paper/1057282/en

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