NUMERICAL SOLUTIONS TO THE STOCHASTIC SYSTEMS WITH FRACTIONAL OPERATORS

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International Journal of Innovative Engineering Applications
Volume:8 Issue:1
NUMERICAL SOLUTIONS TO THE STOCHASTIC SYSTEMS WITH FRACTIONAL OPERATORS

NUMERICAL SOLUTIONS TO THE STOCHASTIC SYSTEMS WITH FRACTIONAL OPERATORS

Pages : 43-52

View : 64 | Download : 54

Publication Date : 2024-06-29

Article Type : Research Paper

Abstract :Fractional-stochastic differential equations are widely used tools to simulate a wide - range of engineering and scientific phenomena. In this paper, the applicability of the approach of indeterminate coefficients to various fractional-stochastic models is examined. These models have a fractional white noise term and are mostly produced by fractional-order derivative operators. We also investigate applications of a polynomial chaos algorithm to stochastic Lotka-Volterra and Benney systems. Fractional-stochastic equations are entirely novel systems that have the potential to function as models for a wide range of scientific and engineering phenomena. It is noted that fractional-order systems with uncertainty or a noise term can benefit from the effective use of Galerkin-type approaches in this article.
Keywords : Galerkin yöntemleri, sayısal çözümler, skokastik sistemler, kesirli operatörler

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