## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2019-04-25

PAPER REVISED: 2019-11-01

PAPER ACCEPTED: 2019-11-01

PUBLISHED ONLINE: 2020-06-21

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**Issue 4**, PAGES [2535 - 2542]

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