Concentration distribution of fractional anomalous diffusion caused by an instantaneous point source

DOI10.1007/BF02439653zbMath1145.76432MaRDI QIDQ1890354

Mingyu Xu, Jun-Sheng Duan

Publication date: 3 January 2005

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Mellin transformfractional calculusanomalous diffusioninstantaneous point sourceFox function

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Diffusion (76R50) Fractional derivatives and integrals (26A33) Other functions defined by series and integrals (33E20) Miscellaneous topics in partial differential equations (35R99)

Related Items (3)

The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations ⋮ Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method ⋮ Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics

Cites Work

• Unnamed Item
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Fox function representation of non-Debye relaxation processes
• Wright functions as scale-invariant solutions of the diffusion-wave equation
• On Mittag-Leffler-type functions in fractional evolution processes
• Fractional diffusion and wave equations
• The fractional diffusion equation

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