Some analytical and numerical properties of the Mittag-Leffler functions

DOI10.1515/fca-2015-0006zbMath1312.33057OpenAlexW2561922883MaRDI QIDQ2260535

Moreno Concezzi, Renato Spigler

Publication date: 11 March 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0006

zbMATH Keywords

Mittag-Leffler functionfractional calculuscomplete monotonicityMainardi's conjecturenumerical algorithm for the Mittag-Leffler function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Related Items (10)

Stability and synchronization of a fractional neutral higher-order neural network system ⋮ Nonlinear fractional distributed Halanay inequality and application to neural network systems ⋮ Fractional Halanay inequality and application in neural network theory ⋮ A note on fractional Duhamel's principle and its application to a class of fractional partial differential equations ⋮ Existence and uniqueness for parabolic problems with Caputo time derivative ⋮ Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals ⋮ Global Padé approximations of the generalized Mittag-Leffler function and its inverse ⋮ Generalized Mittag-Leffler quadrature methods for fractional differential equations ⋮ Unnamed Item ⋮ A rational approximation scheme for computing Mittag-Leffler function with discrete elliptic operator as input

Uses Software

• DLMF

Cites Work

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• Global Padé approximations of the generalized Mittag-Leffler function and its inverse
• Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods
• Detailed error analysis for a fractional Adams method
• Comparing Fréchet and positive stable laws
• On linear stability of predictor–corrector algorithms for fractional differential equations
• Fast Numerical Solution of Nonlinear Volterra Convolution Equations
• On the numerical computation of the Mittag-Leffler function

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