General fractional-order anomalous diffusion with non-singular power-law kernel

In this paper, we investigate general fractional derivatives with a non-singular power-law kernel. The anomalous diffusion models with non-singular power-law kernel are discussed in detail. The results are efficient for modelling the anomalous behaviors within the frameworks of the Riemann-Liouville...

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Bibliographic Details
Main Author: Yang, X. -J. (author)
Other Authors: Srivastava, H. M. (author), Torres, D. F. M. (author), Debbouche, A. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/21270
Country:Portugal
Oai:oai:ria.ua.pt:10773/21270
Description
Summary:In this paper, we investigate general fractional derivatives with a non-singular power-law kernel. The anomalous diffusion models with non-singular power-law kernel are discussed in detail. The results are efficient for modelling the anomalous behaviors within the frameworks of the Riemann-Liouville and Liouville-Caputo general fractional derivatives. © 2017 Society of Thermal Engineers of Serbia.