Journal
THERMAL SCIENCE
Volume 23, Issue 3, Pages 1677-1681Publisher
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI180320239Y
Keywords
power law Rabotnov fractional-exponential function; general fractional-order derivataive; heat transfer; non-singular kernel
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Funding
- 333 Project of Jiangsu Province, People's Republic of China [BRA2018320]
- China University of Mining and Technology [102504180004]
- State Key Research Development Program of the People's Republic of China [2016YFC0600705]
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In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model is discussed in detail. The general fractional-order derivataive formula is a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.
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