On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
type: Item
instance of: scholarly article
title: On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
zbMATH Open document ID: 1303.26007
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2014-12-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1305.0161
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33E12
Mathematics Subject Classification ID: 35S10
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6376804
zbMATH Keywords: Mittag-Leffler function
zbMATH Keywords: complete monotonicity
zbMATH Keywords: fractional relaxation
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: rational approximations
author: Francesco Mainardi
describes a project that uses: Mittag-Leffler
describes a project that uses: mlf
MaRDI profile type: Publication
OpenAlex ID: W2228698783
arXiv ID: 1305.0161
cites work: Q4076249
cites work: Q3006513
cites work: Poisson-type processes governed by fractional and higher-order recursive differential equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q5535287
cites work: Q5624436
cites work: Q4438584
cites work: Fractional Calculus: Integral and Differential Equations of Fractional Order
cites work: Applications of fractional calculus in physics
cites work: Multi-parametric Mittag-Leffler functions and their extension
cites work: On solution of integral equation of Abel-Volterra type
cites work: Q4805623
cites work: Q5699297
cites work: Q4282622
cites work: The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
cites work: The Multi-index Mittag-Leffler Functions and Their Applications for Solving Fractional Order Problems in Applied Analysis
cites work: Q3008210
cites work: Q5190149
cites work: Time-fractional derivatives in relaxation processes: a tutorial survey
cites work: Q3957222
cites work: Special Functions for Applied Scientists
cites work: Q4161583
cites work: The H-Function
cites work: Completely monotonic functions
cites work: Q4233638
cites work: The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
cites work: Q3141895
cites work: Velocity and displacement correlation functions for fractional generalized Langevin equations
cites work: Q3270032
cites work: Bernstein functions. Theory and applications
cites work: Comparing Fréchet and positive stable laws
cites work: Q4743083
cites work: Padé approximants of the Mittag-Leffler functions
cites work: Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
cites work: Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
cites work: Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
cites work: Exponential asymptotics of the Mittag-Leffler function
DOI: 10.3934/DCDSB.2014.19.2267
description: scientific article