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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2018 Volume 24, Issue 1, Pages 42–46 (Mi vsgu568)

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

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.

UDC: 532.6

Received: 18.02.2018

DOI: 10.18287/2541-7525-2018-24-1-42-46



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© Steklov Math. Inst. of RAS, 2024