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Mathematical Methods in Natural Sciences
Equations of state of a solid body with a reduced derivative Riemann–Liouville
M. O. Mamchuev Department of Theoretical and Mathematical Physics, Institute of Applied Mathematics and Automation, 89A, Shortanova Street, Nalchik, 360000, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
Two equations of state of a solid with the use of the fractional Riemann–Liouville derivative are obtained. Both equations are low-parametric (without involving a large number of adjustable parameters). In the proposed approach, the main task is to determine the parameters of the equation from the experimental data of the phase diagrams of the investigated substances.
Keywords:
equation of state of matter, fractional derivative of Riemann–Liouville, fractal structure of matter.
Received: 18.02.2018
Citation:
M. O. Mamchuev, “Equations of state of a solid body with a reduced derivative Riemann–Liouville”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:1 (2018), 42–46
Linking options:
https://www.mathnet.ru/eng/vsgu568 https://www.mathnet.ru/eng/vsgu/v24/i1/p42
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Abstract page: | 151 | Full-text PDF : | 75 | References: | 26 |
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