THERMAL SCIENCE

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Serkan Okur

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Muhammed Yigider

APPLICATION OF THE CONFORMABLE REDUCED DIFFERENTIAL TRANSFORM METHOD TO FRACTIONAL ORDER K(M,N) NON-LINEAR DIFFERENTIAL EQUATIONS

ABSTRACT
In this paper, it is discussed over the method of reduced differential transform method with the help of conformable derivative of the time fractional differential equation. This method is applied to the differential equation K(m,n), which is a member of the Korteweg-de Vries equations. For these solutions, certain values have been obtained depending on the α parameter and these values are shown on the table and graph. It is shown that the method used here is effective and easy to apply.
KEYWORDS
time-fractional differential equations, conformable derivative, reduced differential transform method
PAPER SUBMITTED: 2022-07-17
PAPER REVISED: 2022-09-10
PAPER ACCEPTED: 2022-10-20
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2603O
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [603 - 611]
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Application of the conformable reduced differential transform method to fractional order K(m,n) non-linear differential equations

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