Fractional-order Bernstein wavelets for solving stochastic fractional integro-differential equations

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Rahimkhani Parisa; Ordokhani Yadollah

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2023 | Volume:14 | Issue:9 Page(s): 181-196

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Information Journal Paper

Title

Fractional-order Bernstein wavelets for solving stochastic fractional integro-differential equations

Author(s)

Rahimkhani Parisa | Ordokhani Yadollah | Issue Writer Certificate

Keywords

Fractional-order Bernstein wavelets

Fractional integro-differential equations

Fractional integral operator

Numerical Method

Abstract

In this study, we construct the Fractional-order Bernstein wavelets for solving stochastic Fractional integro-differential equations. Fractional-order Bernstein wavelets and their properties are presented for the first time. The Fractional integral operator of Fractional-order Bernstein wavelets together with the Gaussian integration method is applied to reduce stochastic Fractional integro-differential equations to the solution of algebraic equations which can be simply solved to obtain the solution of the problem. Also, an error estimation for our approach is introduced. The numerical results demonstrate that our scheme is simply applicable, efficient, powerful and very precise at the small number of basis functions.

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