THERMAL SCIENCE

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Shuxian Deng

,

Xinxin Ge

APPROXIMATE ANALYTICAL SOLUTION OF TIME-FRACTIONAL NON-LINEAR HEAT EQUATION VIA FRACTIONAL POWER SERIES METHOD

ABSTRACT
A time-fractional heat equation arising in a quiescent medium is established, and its approximate analytical solution is obtained by the fractional power series method. The results show that the method performs extremely well in terms of efficiency and simplicity.
KEYWORDS
fractional heat equations, caputo fractional derivative, fractional power series
PAPER SUBMITTED: 2020-10-05
PAPER REVISED: 2021-10-02
PAPER ACCEPTED: 2021-10-02
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203637D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2637 - 2643]
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Approximate analytical solution of time-fractional non-linear heat equation via fractional power series method

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