Accurate Padé global approximations for the Mittag-Leffler function, its inverse, and its partial derivatives to efficiently compute convergent power series

DOI10.1007/s40819-016-0158-7zbMath1397.33011OpenAlexW2298287542MaRDI QIDQ1788198

Thomas R. Barrick, Andrew G. Webb, Itamar Ronen, Carson Ingo

Publication date: 8 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0158-7

zbMATH Keywords

Mittag-Leffler functionPadé approximationmagnetic resonance imaginganomalous diffusionfractional derivativepower law dynamics

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

Diffusion entropy method for ultraslow diffusion using inverse Mittag-Leffler function ⋮ Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense ⋮ Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse ⋮ Numerical analysis and pattern formation process for space-fractional superdiffusive systems ⋮ Impulse response of commensurate fractional-order systems: multiple complex poles ⋮ Computation of the inverse Mittag-Leffler function and its application to modeling ultraslow dynamics

Uses Software

• Mittag-Leffler
• sysdfod
• DFOC
• ma2dfc

Cites Work

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• Discrete and continuous random walk models for space-time fractional diffusion
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