Work

A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

Year: 2015

Type: article

Abstract: In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means of the Laplace transform.

Source: Thermal Science

DOI: 10.2298/tsci151224222y

Authors: Xiao-Jun Yang, H.M. Srivastava, Tenreiro Machado

Institutions: China University of Mining and Technology, China Medical University, University of Victoria, Universidade Técnica do Porto

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $161

OpenAlex ID: W2228681942

FWCI: 20.43

Cites: 19

Cited by: 260

Related to: 10