Daftardar-Jafari Method for Solving Nonlinear Differential Equations Involving to Caputo-Fabrizio Fractional Operator

A. This paper presents the Daftardar-Jafari method (DJ method) for nonlinear fractional partial differential equations of the Caputo-Fabrizio fractional operator.The effectiveness of this method is demonstrated by finding the exact solutions of the fractional equations proposed.The results obtained by DJ method is compared with the results obtained by HPTM.The results reveal that the suggested algorithm is very effective and simple and can be applied for linear and nonlinear problems in sciences and engineering.

Publication Details

Journal
Asia Pacific Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.28924/apjm/12-37
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

Daftardar-Jafari Method for Solving Nonlinear Differential Equations Involving to Caputo-Fabrizio Fractional Operator

Asia Pacific Journal of Mathematics
Fractional Differential Equations Solutions
article

Daftardar-Jafari Method for Solving Nonlinear Differential Equations Involving to Caputo-Fabrizio Fractional Operator

article en

Abstract

A. This paper presents the Daftardar-Jafari method (DJ method) for nonlinear fractional partial differential equations of the Caputo-Fabrizio fractional operator.The effectiveness of this method is demonstrated by finding the exact solutions of the fractional equations proposed.The results obtained by DJ method is compared with the results obtained by HPTM.The results reveal that the suggested algorithm is very effective and simple and can be applied for linear and nonlinear problems in sciences and engineering.

Asia Pacific Journal of Mathematics
Openalex Percentile: Top 91%
Fractional Differential Equations Solutions
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Daftardar-Jafari Method for Solving Nonlinear Differential Equations Involving to Caputo-Fabrizio Fractional Operator · Asia Pacific Journal of Mathematics (2025) | TGRS Research Map | TGRS