Fractional variational approach with non-standard power-law degenerate Lagrangians and a generalized derivative operator

DOI10.1515/tmj-2016-0014zbMath1366.37128OpenAlexW2490638398MaRDI QIDQ309077

Ahmad Rami El-Nabulsi

Publication date: 7 September 2016

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2016-0014

zbMATH Keywords

fractional variational approachgeneralized derivative operatornon-standard degenerate Lagrangians

Mathematics Subject Classification ID

Related Items (9)

Acceleration in quantum mechanics and electric charge quantization ⋮ Nonlinear wave equations from a non-local complex backward–forward derivative operator ⋮ Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws ⋮ Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation ⋮ Noether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivatives ⋮ Noether's theorems for dynamical systems of two kinds of non-standard Hamiltonians ⋮ Non-standard Birkhoffian dynamics and its Noether's theorems ⋮ Non-standard magnetohydrodynamics equations and their implications in sunspots ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-linear dynamics with non-standard Lagrangians
• Fractional calculus of variations in terms of a generalized fractional integral with applications to physics
• Non-standard non-local-in-time Lagrangians in classical mechanics
• Non-standard Lagrangians in rotational dynamics and the modified Navier-Stokes equation
• General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems
• Classical oscillator with position-dependent mass in a complex domain
• Calculus of variations with fractional derivatives and fractional integrals
• Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians
• From classical to discrete gravity through exponential non-standard Lagrangians in general relativity
• An alternative canonical approach to the ghost problem in a complexified extension of the Pais-Uhlenbeck oscillator
• New applications of fractional variational principles
• Oscillatory criteria for nonlinear third order differential equations with quasiderivatives
• Classical string field mechanics with non-standard Lagrangians
• Inverse variational problem for nonstandard Lagrangians
• Non-standard power-law Lagrangians in classical and quantum dynamics
• A generalized nonlinear oscillator from non-standard degenerate Lagrangians and its consequent Hamiltonian formalism
• Non-standard fractional Lagrangians
• Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
• Lagrangian and Hamiltonian dynamics with imaginary time
• Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
• A simple and unified approach to identify integrable nonlinear oscillators and systems
• BOHMIAN TRAJECTORIES AND THE PATH INTEGRAL PARADIGM: COMPLEXIFIED LAGRANGIAN MECHANICS
• Asymptotic behaviour of solutions of a third-order nonlinear differential equation
• Generalized fractional operators for nonstandard Lagrangians
• Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
• Fractional actionlike variational problems

This page was built for publication: Fractional variational approach with non-standard power-law degenerate Lagrangians and a generalized derivative operator