## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2022-07-17

PAPER REVISED: 2022-09-10

PAPER ACCEPTED: 2022-10-20

PUBLISHED ONLINE: 2023-01-29

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