Lie symmetry analysis and conservation laws for the time fractional generalized advection-diffusion equation
From MaRDI portal
Publication:2686533
DOI10.1007/s40314-023-02186-0OpenAlexW4317509372MaRDI QIDQ2686533
E. H. El Kinani, Mohamed Rahioui, Abdelaziz Ouhadan
Publication date: 27 February 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02186-0
conservation lawsfractional derivativesymmetry reductionsLie symmetrygeneralized advection-diffusion equation
Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Partial differential equations (35-XX) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Related Items
Lie symmetries, invariant subspace method, and conservation laws for a time fractional generalized Broer-Kaup system ⋮ Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer-Kaup-Kupershmidt system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fractional variational iteration method for solving fractional nonlinear differential equations
- A new conservation theorem
- Exact solutions of nonlinear diffusion equations by variational iteration method
- Properties of solutions of an equation in the theory of infiltration
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
- Homotopy perturbation method: a new nonlinear analytical technique
- Conservation laws for some systems of nonlinear partial differential equations via multiplier approach
- The memory effect on fractional calculus: an application in the spread of COVID-19
- Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative
- Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker-Planck equations for special stochastic process in foreign exchange markets
- Cagan model of inflation with power-law memory effects
- On the solution of fractional order SIS epidemic model
- A review of definitions of fractional derivatives and other operators
- Lie symmetry analysis, invariant subspace method and q-homotopy analysis method for solving fractional system of single-walled carbon nanotube
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS
- Asymptotic solution of a nonlinear advection-diffusion equation
- A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Legendre wavelets method for solving fractional integro-differential equations
- Symmetries and differential equations
- Lie symmetry analysis and conservation laws for the time fractional Black–Scholes equation
