Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration

DOI10.1016/j.cnsns.2022.106590zbMath1500.35290OpenAlexW4281260086WikidataQ113877791 ScholiaQ113877791MaRDI QIDQ2672910

Yanyan Li

Publication date: 13 June 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106590

zbMATH Keywords

Laplace transformMittag-Leffler functiondistributed orderfractional diffusion equationWright function

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Laplace transform (44A10) Integral transforms of special functions (44A20) Fractional partial differential equations (35R11)

Related Items (7)

Wiener-Hopf technique for a fractional mixed boundary value problem in cylindrical layer ⋮ An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability ⋮ On spectral polar fractional Laplacian ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ Numerical solution of multidimensional time‐space fractional differential equations of distributed order with Riesz derivative ⋮ Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model ⋮ Comparative analysis for fractional Laplace and Helmholtz equations on sphere with mixed boundary conditions

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