THERMAL SCIENCE

International Scientific Journal

Zhanqing Chen

,

Peitao Qiu

,

Xiao-Jun Yang

,

Yiying Feng

,

Jiangen Liu

A NEW FRACTIONAL DERIVATIVE MODEL FOR THE ANOMALOUS DIFFUSION PROBLEM

ABSTRACT
In this paper, a new fractional derivative within the exponential decay kernel is addressed for the first time. A new anomalous diffusion model is proposed to describe the heat-conduction problem. With the use of the Laplace transform, the analytical solution is discussed in detail. The presented result is as an accurate and efficient approach proposed for the heat-conduction problem in the complex phenomena.
KEYWORDS
fractional derivative, exponential decay kernel, anomalous diffusion, analytical solution, laplace transform
PAPER SUBMITTED: 2018-09-12
PAPER REVISED: 2019-01-18
PAPER ACCEPTED: 2019-02-25
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180912253C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S1005 - S1011]
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A new fractional derivative model for the anomalous diffusion problem

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence