Results 11 to 20 of about 1,835 (178)
Mittag-Leffler Functions and Their Applications [PDF]
Journal of Applied Mathematics, 2011 Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function ...
H. J. Haubold +2 more
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Some Remarks on Estimate of Mittag-Leffler Function
Journal 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.
Jia Jia +3 more
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Note on generalized Mittag-Leffler function. [PDF]
Springerplus, 2016 The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann-Liouville fractional integration operator has been obtained.
Desai R, Salehbhai IA, Shukla AK.
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On the Numerical Computation of the Mittag–Leffler Function [PDF]
International Journal of Nonlinear Sciences and Numerical Simulation, 2019 Abstract The Mittag–Leffler function (MLF) plays an important role in many applications of fractional calculus, establishing a connection between exponential and power law behaviors that characterize integer and fractional order phenomena, respectively.
Manuel D. Ortigueira +2 more
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Mittag--Leffler Functions and their Applications in Network Science [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 We describe a complete theory for walk-based centrality indices in complex networks defined in terms of Mittag-Leffler functions. This overarching theory includes as special cases well-known centrality measures like subgraph centrality and Katz centrality.
Francesca Arrigo, Fabio Durastante
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The calculation of the Mittag-Leffler function
International Journal of Computer Mathematics, 2021 The problem of calculating the Mittag-Leffler function $E_{ρ,μ} (z)$ is considered in the paper. To solve this problem integral representations for the function $E_{ρ,μ}(z)$ are transformed in such a way that they could not contain complex variables and parameters.
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Numerical evaluation of Mittag-Leffler functions
Calcolo, 2021 The Mittag-Leffler function is computed via a quadrature approximation of a contour integral representation. We compare results for parabolic and hyperbolic contours, and give special attention to evaluation on the real line. The main point of difference with respect to similar approaches from the literature is the way that poles in the integrand are ...
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On the p-k-Mittag-Leffler function [PDF]
Applied Mathematical Sciences, 2017 In this paper, we define the function pEk;;(z), estudy its analyticproperties, some elementary properties as its integral expression,its relationship with the fractional operator of Riemann-Liouville and investigatethe fractional generalization of the kinetic equation involvingthis Mittag-Leffler type function.
Cerutti, Ruben Alejandro +2 more
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Functional Inequalities for the Mittag–Leffler Functions
Results in Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehrez K., Sitnik S.M.
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Some New Fractional-Calculus Connections between Mittag–Leffler Functions
Mathematics, 2019 We consider the well-known Mittag−Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus.
Hari M. Srivastava +2 more
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