## THERMAL SCIENCE

International Scientific Journal

### A NEW METHOD SOLVING LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS IN HEAT TRANSFER

**ABSTRACT**

In this article, a new method, which is coupled by the variational iteration and reduced differential transform method, is proposed to solve local fractional differential equations. The advantage of the method is that the integral operation of variational iteration is transformed into the differential operation. One test examples is presented to demonstrate the reliability and efficiency of the proposed method.

**KEYWORDS**

PAPER SUBMITTED: 2018-09-12

PAPER REVISED: 2018-11-01

PAPER ACCEPTED: 2018-12-21

PUBLISHED ONLINE: 2019-05-26

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**3**, PAGES [1663 - 1669]

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