Results 11 to 20 of about 5,162,458 (169)

Some Remarks on Estimate of Mittag-Leffler Function

open access: yesJournal of Function Spaces, 2019
The estimate of Mittag-Leffler function has been widely applied in the dynamic analysis of fractional-order systems in some recently published papers. In this paper, we show that the estimate for Mittag-Leffler function is not correct.
Jia Jia   +3 more
doaj   +2 more sources

Mittag-Leffler Functions and Their Applications [PDF]

open access: yesJournal of Applied Mathematics, 2011
Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function ...
H. J. Haubold   +2 more
doaj   +2 more sources

Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function

open access: yesAxioms, 2021
A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Shilpi Jain   +3 more
doaj   +2 more sources

A Two-Way Convolution of the Mittag-Leffler Function with Sheffer Polynomials

open access: yesMathematics
This article presents a two-way convolution of the Mittag-Leffler function with Sheffer polynomials via the umbral algebraic method, thereby introducing the Mittag-Leffler–Sheffer polynomials (MLSPs) and the Sheffer–Mittag-Leffler function (SMLF).
Waseem Ahmad Khan   +5 more
doaj   +2 more sources

A Matrix Mittag–Leffler Function and the Fractional Nonlinear Partial Integro-Differential Equation in ℝn

open access: yesFractal and Fractional, 2023
In this paper, we introduce the matrix Mittag–Leffler function, which is a generalization of the multivariate Mittag–Leffler function, in order to investigate the uniqueness of the solutions to a fractional nonlinear partial integro-differential equation
Chenkuan Li   +3 more
doaj   +2 more sources

Turán type inequalities for generalized Mittag-Leffler function. [PDF]

open access: yesJ Inequal Appl, 2017
In this paper, we show several Turán type inequalities for a generalized Mittag-Leffler function with four parameters via the ( p , k ) $(p,k)$ -gamma ...
Dou XK, Yin L.
europepmc   +2 more sources

Some properties of analytic functions involving the Mittag-Leffler function [PDF]

open access: yes, 2021
Mittag-Leffler fonksiyonu 1903 yılında İsveçli matematikçi Magnus Gustav Mittag-Leffler tarafından tanımlanmıştır.Daha sonra, araştırmacılar farklı parametreler ilave ederek bu fonksiyonu genelleştirmiştir. 2015 yılında, Bansal vePrajabat, Mittag-Leffler
Mert, Oya, Çetinkaya, Asena
core   +1 more source

Mittag-Leffler function for discrete fractional modelling [PDF]

open access: yes, 2016
From the difference equations on discrete time scales, this paper numerically investigates one discrete fractional difference equation in the Caputo delta’s sense which has an explicit solution in form of the discrete Mittag-Leffler function.
Luo, Wei-Hua   +3 more
core   +1 more source

INTEGRAL REPRESENTATION FOR HYPERGEOMETRIC FUNCTION OF THE MITTAG-LEFFLER TYPE : INTEGRAL REPRESENTATION FOR HYPERGEOMETRIC FUNCTION OF THE MITTAG-LEFFLER TYPE

open access: yes, 2023
The Mittag-Leffler function has gained importance and popularity through its applications. When solving differential equations of fractional order and integral equations of fractional order.
Yuldashova, Khilola, Hasanov, Anvar
core   +1 more source

Novel Low-Pass Two-Dimensional Mittag–Leffler Filter and Its Application in Image Processing

open access: yesFractal and Fractional, 2023
This paper presents an innovative Mittag–Leffler two-dimensional filter and its application in image processing. The proposed filter leverages the utilization of a Mittag–Leffler function within the probability density function.
Ivo Petráš
doaj   +1 more source

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