A new fractional derivative model for the anomalous diffusion problem

A new fractional derivative model for the anomalous diffusion problem

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 re...

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Bibliographic Details
Main Authors: Chen Zhanqing, Qiu Peitao, Yang Xiao-Jun, Feng Yiying, Liu Jiangen
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2019-01-01
Series:Thermal Science
Subjects:
fractional derivative
exponential decay kernel
anomalous diffusion
analytical solution
laplace transform
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900253C.pdf

Internet

http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900253C.pdf

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