## THERMAL SCIENCE

International Scientific Journal

### LOCAL FRACTIONAL FUNCTIONAL DECOMPOSITION METHOD FOR SOLVING LOCAL FRACTIONAL POISSON EQUATION IN STEADY HEAT-CONDUCTION PROBLEM

**ABSTRACT**

The steady heat-conduction problem via local fractional derivative is investigated in this paper. The analytical solution of the local fractional Poisson equation is obtained. The local fractional functional decomposition method is proposed to find the analytical solution of the partial differential equation in the steady heat-conduction problem.

**KEYWORDS**

PAPER SUBMITTED: 2015-12-28

PAPER REVISED: 2016-01-20

PAPER ACCEPTED: 2016-01-21

PUBLISHED ONLINE: 2016-09-24

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Supplement 3**, PAGES [S785 - S788]

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