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Jian-She Sun

APPROXIMATE ANALYTIC SOLUTION OF THE FRACTAL FISHER'S EQUATION VIA LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD

ABSTRACT
The local fractional variational iteration method is applied to a modified Fisher's equation defined on Cantor sets with the fractal conditions. The solution process is simple, and the accuracy of the approximate solution is high. The method provides an unrivaled tool for local differential equations.
KEYWORDS
fractal Fisher’s equation, approximate analytical solutions, local fractional variational iteration method, local fractional derivative
PAPER SUBMITTED: 2020-03-08
PAPER REVISED: 2021-08-01
PAPER ACCEPTED: 2021-08-01
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203699S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2699 - 2705]
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Approximate analytic solution of the fractal Fisher's equation via local fractional variational iteration method

© 2024 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