Multidimensional solutions of space–fractional diffusion equations
From MaRDI portal
Publication:4531664
DOI10.1098/rspa.2001.0849zbMath0999.60034OpenAlexW2120120182MaRDI QIDQ4531664
Publication date: 25 November 2002
Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2001.0849
Processes with independent increments; Lévy processes (60G51) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52)
Related Items
Invariant subspace method for \((m+1)\)-dimensional non-linear time-fractional partial differential equations, On generalized boundary value problems for a class of fractional differential inclusions, Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law, Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation, On the controllability of anomalous diffusions generated by the fractional Laplacian, On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation, Theories of thermal stresses based on space-time-fractional telegraph equations, Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case, Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution, Mellin integral transform approach to analyze the multidimensional diffusion-wave equations, Long-range connections and mixed diffusion in fractional networks, The Cattaneo type space-time fractional heat conduction equation, Fractional Bessel derivative within the Mellin transform framework, Linking animal movement to site fidelity, Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function, Limit theorems for Lévy walks inddimensions: rare and bulk fluctuations, Differentiation to fractional orders and the fractional telegraph equation, A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach, Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation, Stresses exerted by a source of diffusion in a case of a non-parabolic diffusion equation, Method of calculating densities for isotropic ballistic Lévy walks, Fractional calculus: quo vadimus? (where are we going?), Should I stay or should I go? Zero-size jumps in random walks for Lévy flights, Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity, Asymptotic behaviour of random walks with correlated temporal structure, Some remarks on the nonlinear Schrödinger equation with fractional dissipation, An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations, Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy