THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Shao-Wen Yao

,

Wen-Jie Li

,

Kang-Le Wang

ANALYTICAL SOLUTION FOR NON-LINEAR LOCAL FRACTIONAL BRATU-TYPE EQUATION IN A FRACTAL SPACE

ABSTRACT
In this paper, the non-linear local fractional Bratu-type equation is described by the local fractional derivative in a fractal space, and its variational formulation is successfully established according to semi-inverse transform method. Finally, we find the approximate analytical solution of the local fractional Bratu-type equation by using Adomina decomposition method.
KEYWORDS
local fractional derivative, fractal space, Bratu-type equation, variational principle, Adomina decomposition method
PAPER SUBMITTED: 2019-08-13
PAPER REVISED: 2020-01-18
PAPER ACCEPTED: 2020-05-29
PUBLISHED ONLINE: 2020-11-27
DOI REFERENCE: https://doi.org/10.2298/TSCI2006941Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 6, PAGES [3941 - 3947]
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Analytical solution for non-linear local fractional Bratu-type equation in a fractal space

© 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