Results 21 to 30 of about 1,991 (228)
Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse [PDF]
Fractional Calculus and Applied Analysis, 2015 15 pages, 4 figures, 1 ...
Zeng, Caibin, Chen, Yang Quan
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Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions
Fractal and Fractional, 2019 The manuscript surveys the special functions of the Fox-Wright type. These functions are generalizations of the hypergeometric functions. Notable representatives of the type are the Mittag-Leffler functions and the Wright function.
Dimiter Prodanov
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Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation [PDF]
, 2008 We present a numerical method for the Monte Carlo simulation of uncoupled continuous-time random walks with a Levy alpha-stable distribution of jumps in space and a Mittag-Leffler distribution of waiting times, and apply it to the stochastic solution of ...
A. I. Saichev +17 more
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, 2015 In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
R. K. Parmar
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Random numbers from the tails of probability distributions using the transformation method [PDF]
, 2009 The speed of many one-line transformation methods for the production of, for example, Levy alpha-stable random numbers, which generalize Gaussian ones, and Mittag-Leffler random numbers, which generalize exponential ones, is very high and satisfactory ...
Fulger, Daniel +2 more
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Punjab University journal of mathematics, 2021 The generalized fractional integral has been one of the most useful operators for modelling non-local behaviors by fractional differential equations. It is considered, for several integral inequalities by introducing the concept of exponentially (s, m ...
F. Safdar, M. Attique
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Decomposition of Generalized Mittag-Leffler Function and Its Properties
Advances in Pure Mathematics, 2012 The principal aim of the paper is devoted to the study of some special properties of the Eα,βγ,q(Z) function for α =1/n . Authors defined the decomposition of the function Eα,βγ,q(Z) in the form of truncated power series as Equations (1.7), (1.8) and their various properties including Integral representation, Derivative, Inequalities and their several
Jyotindra C. Prajapati +1 more
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Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions [PDF]
Journal of Mathematics, 2021 In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized.
M. Yussouf +3 more
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General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [PDF]
Journal of Inequalities and Applications, 2018 In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kinds of fractional integral operators. Some interesting special cases of our main results are also pointed out.
G. Farid +4 more
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Journal of Theoretical Probability, 2023 Using the differential operator $Ω_s := s I − x d/dx , s > 0$, we build a new class of infinitely divisible distributions on the half-line. For this class, we give a stochastic interpretation and we provide several monotonicity properties for the associated subordinators.
Safa Bridaa +2 more
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