Thermal Science (2019-01-01)

A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer

  • Yang Xiao-Jun,
  • Abdel-Aty Mahmoud,
  • Cattani Carlo

DOI
https://doi.org/10.2298/TSCI180320239Y
Journal volume & issue
Vol. 23, no. 3 Part A
pp. 1677 – 1681

Abstract

Read online

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.

Keywords