General Fractional-Order Anomalous Diffusion with Non-Singular Power-Law Kernel
Date
2017
Authors
Yang, Xiao-Jun
Srivastava, H.M.
Torres, Delfim F. M.
Debbouche, Amar
Journal Title
Journal ISSN
Volume Title
Publisher
Thermal Science
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-Lionville and Liouville-Caputo general fractional derivatives.
Description
Keywords
general fractional derivative with non-singular power-law kernel, Riemann-Liouville general fractional derivative, anomalous diffusion, Liouville-Caputo general fractional derivative
Citation
Yang, X.-J.; Srivastava, H. M.; Torres, D. F. M.; & Debbouche, A. (2017). General fractional-order anomalous diffusion with non-singular power-law kernel. Thermal Science, 21(Supplement 1), S1-S9. https://doi.org/10.2298/TSCI170610193Y