A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow
Xiao-Jun Yang (China University of Mining, Technology, Xuzhou), H., M. Srivastava (University of Victoria, BC, Canada, China Medical, University, Taichung, Taiwan), J. A. Tenreiro Machado (Polytechnic of Porto,, Portugal)
TL;DR
This paper introduces a novel fractional derivative without a singular kernel and applies it to model steady heat conduction, providing analytical solutions via Laplace transform.
Contribution
It presents a new type of fractional derivative without a singular kernel and demonstrates its application to steady heat flow modeling.
Findings
Derived analytical solutions for fractional heat flow
Validated the effectiveness of the new derivative in heat conduction modeling
Provided a mathematical framework for future applications
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.
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