Results 91 to 100 of about 2,636 (212)

Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series [PDF]

open access: yes
summary:Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series.
Nithiyanandham, Elumalai Krishnan   +1 more
core   +1 more source

A study of integral formulas for the generalized p-k-Mittag–Leffler function

open access: yesMathematics Open
This paper presents a comprehensive system of integration formulas for the generalized p-k-Mittag–Leffler function. By extending and synthesizing multiple mathematical results through the properties of the k-Gamma function, we derive general integral ...
Anu Arora, Shilpi Jain
doaj   +1 more source

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

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  

Fractional Tarig transform and Mittag - Leffler function

open access: yesBoletim da Sociedade Paranaense de Matemática, 2017
In the present paper the Tarig transform of fractional order is studied by employing Mittag - Leffler function. Properties of Tarig transform are proved using the same fractional Tarig transform.
Deshna Loonker, P. K. Banerji
openaire   +4 more sources

Fractional derivative and the Mittag-Leffler functions

open access: yes, 2018
Orientador: Edmundo Capelas de OliveiraDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Neste trabalho apresentamos um estudo sobre as funções de Mittag-Leffler de um, dois e ...
Oliveira, Daniela dos Santos de, 1990-
core  

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

Van der Corput lemmas for Mittag-Leffler functions. I

open access: yes
In this paper, we study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals appearing in the ...
Torebek, Berikbol T., Ruzhansky, Michael
core   +1 more source

Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane

open access: yes, 2017
Inequalities involving Mittag-Leffler functions play important rôles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways.
P. Agarwal, H. Irmak
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

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