Journal
THERMAL SCIENCE
Volume 21, Issue -, Pages S11-S18Publisher
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI170310194G
Keywords
heat transfer; anomalous diffusion; general fractional calculus; Fourier transforms
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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)
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In this paper we address the general fractional calculus of Liouville-Weyl and Liouville-Caputo general fractional derivative types with non-singular power-law kernel for the first time. The Fourier transforms and the anomalous diffusions are discussed in detail. The formulations are adopted to describe complex phenomena of the heat transfer problems.
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