Work

Solution for Time-Fractional Coupled Burgers Equations by Generalized-Laplace Transform Methods

Year: 2024

Type: article

Abstract: In this work, nonlinear time-fractional coupled Burgers equations are solved utilizing a computational method, which is called the double and triple generalized-Laplace transform and decomposition method. We discuss the proof of triple generalized-Laplace transform for a Caputo fractional derivative. We have given four examples to show the precision and adequacy of the suggested approach. The results show that this method is easy and accurate when compared to the A domain decomposition method (ADM), homotopy perturbation method (HPM), and generalized differential transform method (GDTM). Finally, we have sketched the graphics for all these examples.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120692

Authors: Hassan Eltayeb, Said Mesloub

Institution: King Saud University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4404691910

FWCI: 1.033

Cites: 22

Cited by: 3

Related to: 10