Analytical Solutions for the Nonlinear Homogeneous Fractional Burger's Equation using a Local Fractional Operator

The approach for resolving a nonlinear Burger's equations using fractional natural variation iterations is proposed in this article. We suggest the FNVIM, a recombination method of the FVIM with NT, in order to analyze a nonlinear system of fractional partial differential equations. This approach is demonstrated using two numerical examples. According to the findings, this strategy is far more successful and promising than previous numerical approaches.

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Published
2024-11-07
DOI
https://doi.org/10.1109/ismsit63511.2024.10757225
Primary Topic
Fractional Differential Equations Solutions
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article
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article

Analytical Solutions for the Nonlinear Homogeneous Fractional Burger's Equation using a Local Fractional Operator

Lamees K. Alzaki, Athmar Razaaq Saeid
Fractional Differential Equations Solutions
article

Analytical Solutions for the Nonlinear Homogeneous Fractional Burger's Equation using a Local Fractional Operator

Lamees K. Alzaki, Athmar Razaaq Saeid
article en

Abstract

The approach for resolving a nonlinear Burger's equations using fractional natural variation iterations is proposed in this article. We suggest the FNVIM, a recombination method of the FVIM with NT, in order to analyze a nonlinear system of fractional partial differential equations. This approach is demonstrated using two numerical examples. According to the findings, this strategy is far more successful and promising than previous numerical approaches.

Thi Qar University (IQ)
Openalex Percentile: Top 74%
Fractional Differential Equations Solutions
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Analytical Solutions for the Nonlinear Homogeneous Fractional Burger's Equation using a Local Fractional Operator — Lamees K. Alzaki, Athmar Razaaq Saeid · (2024) | TGRS Research Map | TGRS