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Fen Wang

ANALYTICAL STUDY OF FRACTAL MODIFIED DEGASPERIS-PROCESI EQUATION INVOLVING BETA-DERIVATIVE

ABSTRACT
This paper considers the fractal modified Degasperis-Procesi type equation involving a Beta-derivative as a generalized form of the standard ones. The approximate analytical solutions for the new model were obtained by employing the modified homotopy perturbation method coupled Laplace transformation, which is also called as He-Laplace method in literature. The presented example demonstrates the efficacy of the applied method in solving non-linear equations.
KEYWORDS
modified Degasperis-Procesi equation, fractal derivative, Beta-derivative, homotopy perturbation method, fractal dimension
PAPER SUBMITTED: 2023-08-05
PAPER REVISED: 2024-06-15
PAPER ACCEPTED: 2024-06-15
PUBLISHED ONLINE: 2025-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI2503739W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 3, PAGES [1739 - 1747]
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Analytical study of fractal modified Degasperis-Procesi equation involving beta-derivative

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence