THERMAL SCIENCE

International Scientific Journal

Xiao-Jun Yang

,

H. M. Srivastava

,

Delfim F. M. Torres

,

Amar Debbouche

GENERAL FRACTIONAL-ORDER ANOMALOUS DIFFUSION WITH NON-SINGULAR POWER-LAW KERNEL

ABSTRACT
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.
KEYWORDS
general fractional derivative with nonsingular power-law kernel, Riemann-Liouville general fractional derivative, Liouville-Caputo general fractional derivative, anomalous diffusion
PAPER SUBMITTED: 2017-06-10
PAPER REVISED: 2017-06-27
PAPER ACCEPTED: 2017-06-28
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI170610193Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S1 - S9]
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General fractional-order anomalous diffusion with non-singular power-law kernel

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