Numerical scheme for calculating of the fractional two-power relaxation laws in time-domain of measurements

DOI10.1016/j.cpc.2011.10.014zbMath1268.65031OpenAlexW2010047139MaRDI QIDQ2375390

Karina Weron, Aleksander A. Stanislavsky

Publication date: 14 June 2013

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2011.10.014

zbMATH Keywords

Mittag-Leffler functionnumerical examplesDirichlet averagefractional differentiation and integrationnon-exponential relaxation laws

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Mittag-Leffler functions and generalizations (33E12) Numerical approximation and evaluation of special functions (33F05)

Related Items (8)

Computing the matrix Mittag-Leffler function with applications to fractional calculus ⋮ Models of dielectric relaxation based on completely monotone functions ⋮ A practical guide to Prabhakar fractional calculus ⋮ Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models ⋮ The Prabhakar or three parameter Mittag-Leffler function: theory and application ⋮ Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel ⋮ Velocity and displacement correlation functions for fractional generalized Langevin equations ⋮ Atypical case of the dielectric relaxation responses and its fractional kinetic equation

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