An analytical solution for solving a new general fractional-order model for wave in mining rock
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...
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| Language: | English |
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VINCA Institute of Nuclear Sciences
2019-01-01
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| Series: | Thermal Science |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900250C.pdf |
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doaj-df56aa898d3542939d198a05d4bd74912021-01-02T11:05:39ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362019-01-0123Suppl. 398398710.2298/TSCI180927250C0354-98361900250CAn analytical solution for solving a new general fractional-order model for wave in mining rockCao Anye0Yang Xiao-Jun1Feng Yiying2Key Laboratory of Deep Coal Resource Mining (China University of Mining & Technology), Ministry of Education, Xuzhou, China + School of Mines, China University of Mining & Technology, Xuzhou, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, China + School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, ChinaSchool of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, ChinaIn 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900250C.pdfgeneral fractional-order derivativelorenzo-hartley kernelwave equationanalytical solutionmining rock |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cao Anye Yang Xiao-Jun Feng Yiying |
| spellingShingle |
Cao Anye Yang Xiao-Jun Feng Yiying An analytical solution for solving a new general fractional-order model for wave in mining rock Thermal Science general fractional-order derivative lorenzo-hartley kernel wave equation analytical solution mining rock |
| author_facet |
Cao Anye Yang Xiao-Jun Feng Yiying |
| author_sort |
Cao Anye |
| title |
An analytical solution for solving a new general fractional-order model for wave in mining rock |
| title_short |
An analytical solution for solving a new general fractional-order model for wave in mining rock |
| title_full |
An analytical solution for solving a new general fractional-order model for wave in mining rock |
| title_fullStr |
An analytical solution for solving a new general fractional-order model for wave in mining rock |
| title_full_unstemmed |
An analytical solution for solving a new general fractional-order model for wave in mining rock |
| title_sort |
analytical solution for solving a new general fractional-order model for wave in mining rock |
| publisher |
VINCA Institute of Nuclear Sciences |
| series |
Thermal Science |
| issn |
0354-9836 |
| publishDate |
2019-01-01 |
| description |
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. |
| topic |
general fractional-order derivative lorenzo-hartley kernel wave equation analytical solution mining rock |
| url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900250C.pdf |
| work_keys_str_mv |
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