Rational Solutions for the Time-Fractional Diffusion Equation

DOI10.1137/100799307zbMath1222.26011OpenAlexW2090994088WikidataQ60171464 ScholiaQ60171464MaRDI QIDQ2999799

Adel Osseiran, Colin Atkinson

Publication date: 17 May 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100799307

zbMATH Keywords

Mittag-Leffler functionFourier-Laplace transformsinverse Mittag-Leffler functionglobal rational approximationMellin transform of time-fractional boundary value problemspectral decomposition of time-fractional equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Fractional derivatives and integrals (26A33) Approximation by rational functions (41A20) Mittag-Leffler functions and generalizations (33E12) Numerical methods for integral transforms (65R10) Fractional partial differential equations (35R11)

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