Application of Adomian decomposition method to fractional order partial differential equations

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 ? ? 1.

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Publication Details

Journal
Thermal Science
Published
2025-01-01
DOI
https://doi.org/10.2298/tsci2502375w
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.37
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article

Application of Adomian decomposition method to fractional order partial differential equations

Shanpeng Wen, Qing Fang, Ping Wang, Fang Wang
1 citations
Thermal Science
Fractional Differential Equations Solutions
1.37
article

Application of Adomian decomposition method to fractional order partial differential equations

Shanpeng Wen, Qing Fang, Ping Wang, Fang Wang
article en
1 citations

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 ? ? 1.

Thermal ScienceVol. 29(2 Part B)
Changsha University of Science and Technology (CN), Xiamen University of Technology (CN)
Openalex Percentile: Top 21%
Fractional Differential Equations Solutions
1.37
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