A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer-Reference-Cited by-同舟云学术

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

Published:2019 Issue:3 Part A Volume:23 Page:1677-1681
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Yang Xiao-Jun¹,Abdel-Aty Mahmoud²,Cattani Carlo³

Affiliation:

1. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, China

2. Center for Photonics and Smart Materials (CPSM), Zewail City of Science and Technology, Egypt + Mathematics Department, Faculty of Sciences, Sohag University, Egypt + Applied Science University, Kingdom of Bahrain

3. Engineering School, DEIM, University of Tuscia, Viterbo, Italy + Ton Duc Thang University, HCMC, Vietnam

Abstract

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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