The Numerical Solutions of a Two-Dimensional Space-Time Riesz-Caputo Fractional Diffusion Equation

DOI10.11121/ijocta.01.2011.0028zbMath1236.65133OpenAlexW2083014651MaRDI QIDQ3105237

Derya Avcı, Necati Özdemir, Beyza Billur İskender

Publication date: 5 January 2012

Published in: An International Journal of Optimization and Control: Theories & Applications (IJOCTA) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11121/ijocta.01.2011.0028

zbMATH Keywords

Mittag-Leffler functionnumerical examplesFourier seriesanomalous diffusionLaplace and Fourier transformsGrünwald-Letnikov approximationRiesz and Caputo operatorstwo-dimensional space-time fractional differential equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

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