Boundary value problems of fractional Fokker-Planck equations

DOI10.1016/J.CAMWA.2016.06.038zbMath1409.35209OpenAlexW2481107527MaRDI QIDQ666762

Hedi T. Aleroeva, Mikhail V. Tamm, Yue Zhao, Jianfei Huang, Temirkhan S. Aleroev, Yi-Fa Tang

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.06.038

zbMATH Keywords

boundary value problemsfractional Fokker-Planck equationsFourier methodCaputo derivative operator

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (4)

Finite difference scheme for the time-fractional Fokker–Planck equation with time- and space-dependent forcing ⋮ Proof of the completeness of the system of eigenfunctions for one boundary-value problem for the fractional differential equation ⋮ On the main oscillational properties of fractional differential equations ⋮ Existence of solutions for a class of fractional Hamiltonian systems with impulsive effects

Cites Work

• On the completeness of systems of eigenfunctions and associated functions of differential operators of orders \(2-\epsilon\) and \(1-\epsilon\)
• An analytic algorithm for the space-time fractional advection-dispersion equation
• On the completeness of systems of root functions of differential operators of fractional order with matrix coefficients
• On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order
• Analog of the Birkhoff theorem and the completeness results for fractional order differential equations
• Asymptotic formulae for zeros of a function of Mittag-Leffler's type
• The fundamental solution of the space-time fractional advection-dispersion equation
• Boundary-value problems for differential equations of fractional order
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
• The eigenvalues of a boundary value problem for a fractional-order differential operator
• On zeros of functions of Mittag-Leffler type

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