Results 101 to 110 of about 2,646 (211)

Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems [PDF]

open access: yes, 2010
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and ...
Paneva-Konovska, Jordanka
core  

Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion

open access: yesResults in Physics, 2018
It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo   +2 more
doaj   +1 more source

Fractional differential equations and the Mittag-Leffler functions [PDF]

open access: yes, 2018
Orientador: Edmundo Capelas de OliveiraTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Apresentamos operadores de integração e derivação fracionárias, que em particular, podem ser ...
Contharteze, Eliana, 1984-
core  

Laplace transform and the Mittag-Leffler function [PDF]

open access: yes, 2014
CAPES - COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL E NÍVEL SUPERIORThe exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation ...
Teodoro, G. Sales   +1 more
core   +1 more source

Some properties of the Mittag-Leffler functions and their relation with the Wright functions [PDF]

open access: yes, 2012
This paper is a short description of our recent results on an important class of the so-called Mittag-Leffler functions, which became important as solutions of fractional order differential and integral equations, control systems and refined mathematical
Bayram, Mustafa   +3 more
core   +1 more source

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. First, we point out the mistakes made in the estimation process of Mittag-Leffler function and provide a ...
Jia Jia   +3 more
openaire   +2 more sources

On the Mittag-Leffler Function connection to Spiral like functions [PDF]

open access: yes
In this study, we evoke the connection between a Mittag-Leffler function with a subclass of spiral like functions.
Ali Omar
core   +1 more source

Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function

open access: yesEuropean Journal of Pure and Applied Mathematics
Building on recent research that established partial sum and lower bounds for various special functions, this paper extends the scope to investigate the normalized Le Roy-type Mittag-Leffler-Prabhakar and Barnes-Mittag-Leffler functions. We aim to determine lower bounds for these functions and their partial sums.
Shahid Khan   +5 more
openaire   +1 more source

Extension of Mittag-Leffler function

open access: yes, 2017
In this paper, we present an extension of Mittag-Leffler function by using the extension of beta functions (Özergin et al. in J. Comput. Appl. Math. 235 (2011), 4601-4610) and obtain some integral representation of this newly defined function. Also, we present the Mellin transform of this function in terms of Wright hypergeometric function. Furthermore,
Rahman, G.   +3 more
openaire   +2 more sources

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

open access: yesResearches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

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