Results 21 to 30 of about 5,162,509 (207)

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, Manju Sharma, D. L. Suthar, S. D. Purohit   +3 more
doaj   +1 more source

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., Gorska K., Horzela A., Licciardi S., Pidatella R. M.   +4 more
openaire   +3 more sources

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
doaj   +1 more source

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 ...
openaire   +4 more sources

Novel Generalized Low-Pass Filter with Adjustable Parameters of Exponential-Type Forgetting and Its Application to ECG Signal

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
doaj   +1 more source

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

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, Reza Saadati, Joshua Beaudin, Andrii Hrytsenko   +3 more
doaj   +1 more source

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.
openaire   +4 more sources

On the numerical computation of the Mittag-Leffler function [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duarte Valério, José António Tenreiro Machado   +1 more
openaire   +4 more sources

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Discrete Dynamics in Nature and Society, 2021
In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan, Tayyaba Manzoor, Hafte Amsalu Kahsay, Kahsay Godifey Wubneh   +3 more
doaj   +1 more source

Novel Low-Pass Two-Dimensional Mittag–Leffler Filter and Its Application in Image Processing

Fractal and Fractional, 2023
This paper presents an innovative Mittag–Leffler two-dimensional filter and its application in image processing. The proposed filter leverages the utilization of a Mittag–Leffler function within the probability density function.
Ivo Petráš
doaj   +1 more source