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A NEW GENERAL FRACTIONAL-ORDER DERIVATIVE WITH RABOTNOV FRACTIONAL-EXPONENTIAL KERNEL APPLIED TO MODEL THE ANOMALOUS HEAT TRANSFER
Journal article   Open access  Peer reviewed

A NEW GENERAL FRACTIONAL-ORDER DERIVATIVE WITH RABOTNOV FRACTIONAL-EXPONENTIAL KERNEL APPLIED TO MODEL THE ANOMALOUS HEAT TRANSFER

Xiao-Jun Yang, Mahmoud Abdel-Aty and Carlo Cattani
Thermal science, Vol.23(3), pp.1677-1681
01/01/2019
DOI: https://doi.org/10.2298/TSCI180320239Y

Abstract

Physical Sciences Science & Technology Thermodynamics
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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https://doi.org/10.2298/TSCI180320239YView
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