International Scientific Journal

Thermal Science - Online First

online first only

Conformable heat equation on a radial symmetric plate

The conformable heat equation is defined in terms of a local and limit-based definition called conformable derivative which provides some basic properties of integer order derivative such that conventional fractional derivatives lose some of them due to their nonlocal structure. In this paper, we aim to find the fundamental solution of a conformable heat equation acting on a radial symmetric plate. Moreover, we give a comparison between the new conformable and the existing Grünwald-Letnikov solutions of heat equation. The computational results show that conformable formulation is quite successful to show the sub-behaviors of heat process. In addition, conformable solution can be obtained by a direct analytical method without need of any numerical scheme and any restrictions on the problem formulation. This is surely a significant advantageous compared to the Grünwald-Letnikov solution.
PAPER REVISED: 2016-05-30
PAPER ACCEPTED: 2016-06-27
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