Results 21 to 30 of about 3,918 (208)
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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Sensors, 2022 In this paper, a novel form of the Gaussian filter, the Mittag–Leffler filter is presented. This new filter uses the Mittag–Leffler function in the probability-density function.
Ivo Petráš
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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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On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations
Journal of Mathematics, 2021 In this paper, we have studied a unified multi-index Mittag–Leffler function of several variables. An integral operator involving this Mittag–Leffler function is defined, and then, certain properties of the operator are established.
B. B. Jaimini +3 more
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Some properties relating to the Mittag-Leffler function of two variables [PDF]
, 2021 An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and differential recurrence relations,
Ruzhansky, M, Bin-Saad, MG, Hasanov, A
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Boundary 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
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Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues
Mathematics, 2022 It has been obtained that the n-th derivative of the 2-parametric Mittag–Leffler function is a 3-parametric Mittag–Leffler function, with exactness to a constant.
Jordanka Paneva-Konovska
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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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Comments on the properties of Mittag-Leffler function [PDF]
The European Physical Journal Special Topics, 2017 The properties of Mittag-Leffler function is reviewed within the framework of an umbral formalism. We take advantage from the formal equivalence with the exponential function to define the relevant semigroup properties. We analyse the relevant role in the solution of Schrödinger type and heat-type fractional partial differential equations and explore ...
Dattoli G. +4 more
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