Method of variable separation for investigating exact solutions and dynamical properties of the time-fractional Fokker-Planck equation
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Publication:2128655
DOI10.1016/j.physa.2022.127068OpenAlexW4226293413MaRDI QIDQ2128655
Fen Chen, Xinsong Yang, Wei-Guo Rui
Publication date: 22 April 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2022.127068
Mittag-Leffler functionanomalous diffusionvariable separation methodtime-fractional Fokker-Planck equationexact solution and dynamical property
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Cites Work
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- Exact solution of certain time fractional nonlinear partial differential equations
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Fractional variational iteration method and its application
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative
- Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
- The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- The Fokker-Planck equation. Methods of solution and applications.
- The Fokker-Planck equation for a bistable potential
- Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs
- Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion
- Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs
- Method of separation variables combined with homogenous balanced principle for searching exact solutions of nonlinear time-fractional biological population model
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
- Nonlinear time-fractional dispersive equations
- The fractional diffusion equation
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Plasma transport coefficients in a magnetic field by direct numerical solution of the Fokker–Planck equation
- Anomalous diffusion: Fractional Fokker–Planck equation and its solutions
- Modeling Anomalous Diffusion
- Inverse Stable Subordinators
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Dynamical system method for investigating existence and dynamical property of solution of nonlinear time-fractional PDEs
