Results 31 to 40 of about 1,345 (201)

An Overview of Generalized Gamma Mittag–Leffler Model and Its Applications

open access: yesAxioms, 2015
Recently, probability models with thicker or thinner tails have gained more importance among statisticians and physicists because of their vast applications in random walks, Lévi flights, financial modeling, etc.
Seema S. Nair
doaj   +2 more sources

On a new class of integrals involving generalized Mittag-Leffler function [PDF]

open access: yesSurveys in Mathematics and its Applications, 2016
In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria   +2 more
doaj   +1 more source

Numerical Results for the Generalized Mittag-Leffler Function [PDF]

open access: yes, 2005
Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.Gf Results of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane.
Seybold, H. J., Hilfer, R.
openaire   +2 more sources

On Generalized Mittag–Leffler‐Type Functions of Two Variables

open access: yesMathematical Methods in the Applied Sciences, 2023
ABSTRACT We aim to study the Mittag–Leffler‐type functions of two variables by analogy with the Appell hypergeometric functions of two variables. Moreover, we targeted functions as limiting cases of the functions and studied certain properties, as well.
Anvar Hasanov, Erkinjon Karimov
openaire   +2 more sources

Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function

open access: yesBoundary Value Problems, 2023
Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness of solutions to a brand new boundary value problem of the ...
Chenkuan Li   +3 more
doaj   +1 more source

Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]

open access: yesInternational Scholarly Research Notices, 2014
We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of
Dinesh Kumar, Sunil Kumar
openaire   +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

Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

open access: yesJournal of Inequalities and Applications, 2018
In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function.
Shin Min Kang   +3 more
doaj   +1 more source

Grüss Type k-Fractional Integral Operator Inequalities and Allied Results

open access: yesInternational Journal of Analysis and Applications, 2023
This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid   +5 more
doaj   +1 more source

Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses [PDF]

open access: yes, 2018
Fractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional ...
Cao, Jinde   +11 more
core   +1 more source

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