Algorithms and applications of the new modified decomposition method to solve initial-boundary value problems for fractional partial differential equations

Algorithms and applications of the new modified decomposition method to solve initial-boundary value problems for fractional partial differential equations

This study aims to efficiently solve the class of initial-boundary problems for fractional partial differential equations by expanding the modified Adomian decomposition method. Three new algorithms are proposed, two for handling various fractional initial-boundary problems via the $ x $-differentia...

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Bibliographic Details
Main Authors: Mariam Al-Mazmumy, Mona Alsulami, Norah AL-Yazidi
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
fractional differential equations
advanced decomposition method
initial and boundary value conditions
riemann–liouville derivative
caputo derivative
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025267
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https://www.aimspress.com/article/doi/10.3934/math.2025267

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