## THERMAL SCIENCE

International Scientific Journal

### A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL: APPLICATION TO THE MODELLING OF THE STEADY HEAT FLOW

**ABSTRACT**

In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means of the Laplace transform.

**KEYWORDS**

PAPER SUBMITTED: 2015-12-24

PAPER REVISED: 2015-12-25

PAPER ACCEPTED: 2015-12-25

PUBLISHED ONLINE: 2016-01-30

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**2**, PAGES [753 - 756]

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