A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods

A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods

This paper presents an innovative approach to solve $ \mathit{q} $-fractional partial differential equations through a combination of two semi-analytical techniques: The Residual Power Series Method (RPSM) and the Homotopy Analysis Method (HAM). Both methods are extended to obtain approximations for...

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Bibliographic Details
Main Authors: Khalid K. Ali, Mohamed S. Mohamed, M. Maneea
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
$ \mathit{q} $-calculus
fractional calculus
$ \mathit{q} $-fractional partial differential equations
homotopy analysis method
residual power series method
semi analytical techniques
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241596
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