Solution of the fractional Liouville equation by using Riemann-Liouville and Caputo derivatives in statistical mechanics

DOI10.1134/s0040577924020107OpenAlexW4392203841MaRDI QIDQ6121946

A. Souigat, Rania Bekhouche, Zineb Korichi, Mohammed Tayeb Meftah

Publication date: 26 March 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577924020107

zbMATH Keywords

Caputo derivativeRiemann-Liouville derivativefractional ideal gasfractional Liouville equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum statistical systems in \(D\)-dimensional space using a fractional derivative
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional quantum mechanics and Lévy path integrals
• Chaos, fractional kinetics, and anomalous transport
• A new collection of real world applications of fractional calculus in science and engineering
• Some features of quantum statistical systems with an energy spectrum of the fractional-power type
• Principles of Fractional Quantum Mechanics
• LIOUVILLE AND BOGOLIUBOV EQUATIONS WITH FRACTIONAL DERIVATIVES
• Fractional dynamics of coupled oscillators with long-range interaction
• Statistical mechanics based on fractional classical and quantum mechanics

This page was built for publication: Solution of the fractional Liouville equation by using Riemann-Liouville and Caputo derivatives in statistical mechanics