The Fractional Virial Theorem

DOI10.7153/fdc-01-04zbMath1412.34223OpenAlexW2331036869MaRDI QIDQ4626315

Dumitru Baleanu, Ali Khalili Golmankhaneh, Cristina Mihaela-Baleanu, Alireza Khalili Golmankhaneh

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-01-04

zbMATH Keywords

fractional derivativesfractional calculusvirial theoremclassical mechanicsRiemann-Liouville

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (1)

On the fractional Newton and wave equation in one space dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dual action of fractional multi time Hamilton equations
• On exact solutions of a class of fractional Euler-Lagrange equations
• Fractional control of heat diffusion systems
• Fractional electromagnetic equations using fractional forms
• The Hamilton formalism with fractional derivatives
• Fractional Hamiltonian formalism within Caputo's derivative
• Newtonian law with memory
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• 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
• Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
• Chaos, fractional kinetics, and anomalous transport
• Formulation of Euler-Lagrange equations for fractional variational problems
• Lagrangean and Hamiltonian fractional sequential mechanics.
• Hamiltonian structure of fractional first order Lagrangian
• Fractional Nambu mechanics
• Fractional Hamiltonian analysis of higher order derivatives systems
• Analytical schemes for a new class of fractional differential equations
• Heisenberg's Equations of Motion with Fractional Derivatives
• Fractional statistical mechanics
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
• Hamilton–Jacobi formulation of systems within Caputo's fractional derivative
• Fractional variational calculus and the transversality conditions

This page was built for publication: The Fractional Virial Theorem