Journal
THERMAL SCIENCE
Volume 21, Issue -, Pages S1-S9Publisher
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI170610193Y
Keywords
general fractional derivative with non-singular power-law kernel; Riemann-Liouville general fractional derivative; anomalous diffusion; Liouville-Caputo general fractional derivative
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Funding
- State Key Research Development Program of the People Republic of China [2016YFC0600705]
- Natural Science Foundation of China [51323004]
- Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
- FCT
- CIDMA [UID/MAT/04106/2013]
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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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