THERMAL SCIENCE

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Chunfu Wei

,

Huanhuan Wang

SOLUTIONS OF THE HEAT-CONDUCTION MODEL DESCRIBED BY FRACTIONAL EMDEN-FOWLER TYPE EQUATION

ABSTRACT
In this paper, we presented a reliable algorithm to solve the singularity initial value problems of the time-dependent fractional Emden-Fowler type equations by homotopy analysis method. The approximate solutions of the problems are obtained.
KEYWORDS
fractional Emden-Fowler type equations, homotopy analysis method, approximate solution, caputo fractional derivative
PAPER SUBMITTED: 2017-03-10
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-06-28
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1113W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S113 - S120]
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Solutions of the heat-conduction model described by fractional Emden-Fowler type equation

© 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