THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Anye Cao

,

Xiao-Jun Yang

,

Yiying Feng

AN ANALYTICAL SOLUTION FOR SOLVING A NEW GENERAL FRACTIONAL-ORDER MODEL FOR WAVE IN MINING ROCK

ABSTRACT
In this paper, we consider the general fractional-order derivatives of the Liouville-Sonine-Caputo and Liouville-Sonine type containing the Lorenzo-Hartley kernel. A general fractional-order model for the wave equation with the analytical solution is discussed in detail. The general fractional-order formula is accurate and efficient for description of the complex, power-law and memory behaviors for the mining rock.
KEYWORDS
general fractional-order derivative, Lorenzo-Hartley kernel, wave equation, analytical solution, mining rock
PAPER SUBMITTED: 2018-09-27
PAPER REVISED: 2019-01-20
PAPER ACCEPTED: 2019-01-28
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180927250C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S983 - S987]
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An analytical solution for solving a new general fractional-order model for wave in mining rock

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence