## THERMAL SCIENCE

International Scientific Journal

### SOLVING NON-LOCAL FRACTICAL HEAT EQUATIONS BASED ON THE REPRODUCING KERNEL METHOD

**ABSTRACT**

In this paper, a numerical method is proposed for 1-D fractional heat equations subject to non-local boundary conditions. The reproducing kernel satisfying nonlocal conditions is constructed and reproducing kernel theory is applied to solve the considered problem. A numerical example is given to show the effectiveness of the method.

**KEYWORDS**

PAPER SUBMITTED: 2015-11-12

PAPER REVISED: 2016-01-15

PAPER ACCEPTED: 2016-02-03

PUBLISHED ONLINE: 2016-09-24

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Supplement 3**, PAGES [S711 - S716]

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