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Open AccessEngineeringPhysicsMathematics

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

Xiao-Jun Yang, H. M. Srivastava, J. A. Tenreiro Machado

2015.12.30Thermal Science

DOI: 10.2298/tsci151224222y

tlooto Summary

A new fractional derivative without singular kernel is proposed for modeling steady heat flow, offering an analytical solution via Laplace transform.

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.

Citation format

YANG, Xiao-Jun; SRIVASTAVA, H. M.; MACHADO, J. A. Tenreiro. A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow [preprint]. arXiv, 2015. arXiv:1601.01623.