Results 101 to 110 of about 2,646 (211)
Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems [PDF]
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
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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]
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-
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Laplace transform and the Mittag-Leffler function [PDF]
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
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Some properties of the Mittag-Leffler functions and their relation with the Wright functions [PDF]
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
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Some Remarks on Estimate of Mittag-Leffler Function
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
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On the Mittag-Leffler Function connection to Spiral like functions [PDF]
In this study, we evoke the connection between a Mittag-Leffler function with a subclass of spiral like functions.
Ali Omar
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Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function
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
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Extension of Mittag-Leffler function
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
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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

