The Numerical Solutions of Fractional Partial Differential Equations

A. The main object of the paper is to study the behavior of the numerical solutions of the Caputo-Fabrizio partial differential equations (CFPDEs) by using modified Adomian decomposition method (MADM).Moreover, we discuss some new existence, uniqueness, and convergence results.Finally, some examples are included to demonstrate the validity and applicability of the proposed technique.

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Publication Details

Journal
Asia Pacific Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.28924/apjm/12-84
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

The Numerical Solutions of Fractional Partial Differential Equations

Hassan Kamil Jassim, A.M. Arif, Naser Rhaif Swain, Mohammed Taimah Yasser
Asia Pacific Journal of Mathematics
Fractional Differential Equations Solutions
article

The Numerical Solutions of Fractional Partial Differential Equations

Hassan Kamil Jassim, A.M. Arif, Naser Rhaif Swain, Mohammed Taimah Yasser
article en

Abstract

A. The main object of the paper is to study the behavior of the numerical solutions of the Caputo-Fabrizio partial differential equations (CFPDEs) by using modified Adomian decomposition method (MADM).Moreover, we discuss some new existence, uniqueness, and convergence results.Finally, some examples are included to demonstrate the validity and applicability of the proposed technique.

Asia Pacific Journal of MathematicsVol. 12
Openalex Percentile: Top 71%
Fractional Differential Equations Solutions
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The Numerical Solutions of Fractional Partial Differential Equations — Hassan Kamil Jassim, A.M. Arif, et al. · Asia Pacific Journal of Mathematics (2025) | TGRS Research Map | TGRS