4.3 Article

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

期刊

THERMAL SCIENCE
卷 21, 期 -, 页码 S1-S9

出版社

VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI170610193Y

关键词

general fractional derivative with non-singular power-law kernel; Riemann-Liouville general fractional derivative; anomalous diffusion; Liouville-Caputo general fractional derivative

资金

  1. State Key Research Development Program of the People Republic of China [2016YFC0600705]
  2. Natural Science Foundation of China [51323004]
  3. Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
  4. FCT
  5. CIDMA [UID/MAT/04106/2013]

向作者/读者索取更多资源

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.

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