Fractional derivative generalization of Noether's theorem

DOI10.1515/math-2015-0086zbMath1397.70028OpenAlexW2562069198MaRDI QIDQ317774

Maryam Khorshidi, Hossein Jafari, Mehdi Nadjafikhah

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0086

zbMATH Keywords

symmetryconservation lawsfractional derivativesNoether's theoremfractional Euler-Lagrange equationsfractional variational calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Optimality conditions for free problems in one independent variable (49K05) Fractional partial differential equations (35R11)

Related Items (4)

Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker-Planck equations for special stochastic process in foreign exchange markets ⋮ Symmetries, similarity invariant solution, conservation laws and exact solutions of the time-fractional harmonic oscillator equation ⋮ Symmetry properties, conservation laws, reduction and numerical approximations of time-fractional cylindrical-Burgers equation ⋮ ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS

Cites Work

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• Fractional Lie group method of the time-fractional Boussinesq equation
• A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
• Conservation laws and exact solutions for a 2D Zakharov-Kuznetsov equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Application of Noether's theorem to the transport equation

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