Constructing conservation laws for fractional-order integro-differential equations

DOI10.1007/s11232-015-0317-8zbMath1336.45004OpenAlexW1709999485MaRDI QIDQ905021

N. E. Zubov

Publication date: 14 January 2016

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0317-8

zbMATH Keywords

symmetryconservation lawNoether theoremfundamental operator identityintegro-differential fractional-order equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries and conservation laws in mechanics of particles and systems (70S10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (11)

Symmetry analysis and conservation laws to the space-fractional Prandtl equation ⋮ Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker-Planck equations for special stochastic process in foreign exchange markets ⋮ Space-time fractional Klein-Gordon equation: symmetry analysis, conservation laws and numerical approximations ⋮ Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation ⋮ Group analysis, invariance results, exact solutions and conservation laws of the perturbed fractional Boussinesq equation ⋮ Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control ⋮ Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter ⋮ Approximate conservation laws for fractional differential equations ⋮ Fundamental analysis of the time fractional coupled Burgers-type equations ⋮ Approximate symmetry group classification for a nonlinear fractional filtration equation of diffusion-wave type ⋮ Групповая классификация, инвариантные решения и законы сохранения нелинейного двумерного ортотропного уравнения фильтрации с дробной производной Римана-Лиувилля по времени

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
• On exact solutions of a class of fractional Euler-Lagrange equations
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
• A continuous/discrete fractional Noether's theorem
• Stationarity-conservation laws for certain linear fractional differential equations
• Nonlinear self-adjointness and conservation laws
• Analytical schemes for a new class of fractional differential equations
• Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws
• Noether’s theorem for non-smooth extremals of variational problems with time delay
• The fractional Fick's law for non-local transport processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Constructing conservation laws for fractional-order integro-differential equations