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

Thermal Science, Volume 23, No. 3, Year 2019

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.

Yang, Xiaojun
1. China, Xuzhou State Key Laboratory for Geomechanics and Deep Underground Engineering
Abdel-Aty, Mahmoud Attia
1. Egypt, 6th October Zewail City of Science and Technology
2. Egypt, Sohag Faculty of Science
3. Bahrain, Al Eker Applied Science University
Cattani, Carlo
1. Italy, Viterbo Università Degli Studi Della Tuscia Viterbo
2. Viet Nam, Ho Chi Minh City Ton-duc-thang University

AFRICAN RESEARCH NEXUS

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

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AFRICAN RESEARCH NEXUS

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

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