THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Fang Wang

,

Si-Ying Wen

,

Qing Fang

,

Ping Wang

APPLICATION OF ADOMIAN DECOMPOSITION METHOD TO FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS

ABSTRACT
In the paper, we first use G transform decomposition method to solve the non-linear fractional Fisher equation, and verify the effectiveness through concrete examples. Then we use Natural transform decomposition method to solve non-linear fractional KdV equation and prove the solution surface of fractional order converges to integer order solution surface when exponent σ → 1.
KEYWORDS
caputo fractional derivative, G transform, natural transform, Adomian decomposition method
PAPER SUBMITTED: 2024-08-25
PAPER REVISED: 2024-11-12
PAPER ACCEPTED: 2024-11-24
PUBLISHED ONLINE: 2025-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI2502375W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 2, PAGES [1375 - 1381]
REFERENCES
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Application of Adomian decomposition method to fractional order partial differential equations

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence