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An Overview of Generalized Gamma Mittag–Leffler Model and Its Applications
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
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On a new class of integrals involving generalized Mittag-Leffler function [PDF]
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
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Numerical Results for the Generalized Mittag-Leffler Function [PDF]
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.
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On Generalized Mittag–Leffler‐Type Functions of Two Variables
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
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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
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Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]
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
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Some properties of analytic functions involving the Mittag-Leffler function [PDF]
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
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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
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Grüss Type k-Fractional Integral Operator Inequalities and Allied Results
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
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Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses [PDF]
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
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