THERMAL SCIENCE

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Yong-Ju Yang

THE FRACTIONAL RESIDUAL METHOD FOR SOLVING THE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS

ABSTRACT
This paper proposes a new method to solve local fractional differential equation. The method divides the studied equation into a system, where the initial solution is obtained from a residual equation. The new method is therefore named as the fractional residual method. Examples are given to elucidate its efficiency and reliability.
KEYWORDS
local fractional derivative, residual method
PAPER SUBMITTED: 2019-04-25
PAPER REVISED: 2019-11-01
PAPER ACCEPTED: 2019-11-01
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004535Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 4, PAGES [2535 - 2542]
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The fractional residual method for solving the local fractional differential equations

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