A pseudo-spectral scheme for variable order fractional stochastic Volterra integro-differential equations

A pseudo-spectral scheme for variable order fractional stochastic Volterra integro-differential equations

A spectral collocation method is proposed to solve variable order fractional stochastic Volterra integro-differential equations. The new technique relies on shifted fractional order Legendre orthogonal functions outputted by Legendre polynomials. The original equations are approximated using the shi...

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Bibliographic Details
Main Authors: Obaid Algahtani, M. A. Abdelkawy, António M. Lopes
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
fractional volterra integro-differential equation
caputo fractional derivative
spectral collocation method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022846?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022846?viewType=HTML

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