Results 31 to 40 of about 20,113 (252)

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

Multiparameter K-Mittag-Leffler function [PDF]

International Mathematical Forum, 2013
In this paper author introduce Multiparameter K-Mittag-Leffler Function definded as, pK (β,η)m q,k [z] = pK (β,η)m q,k [a1, .., ap; b1, .., bq , (β1, η1), .., (βm, ηm); z], pK (β,η)m q,k [z] = ∞ ∑ n=0 ∏p j=1(aj)n,k z n ∏q r=1(br)n,k ∏m i=1 Γk(ηin+ βi) , where k ∈ R+ = (0,∞); aj, br, βi ∈ C; ηi ∈ R (j = 1, 2, .., p; r = 1, 2, .., q; i = 1, 2, ..,m ...
Kuldeep Singh Gehlot
openalex   +2 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

Subclasses of analytic and bi-univalent functions involving a generalized Mittag-Leffler function based on quasi-subordination

Journal of Mathematics and Computer Science, 2022
Two quasi-subordination subclasses QΣ α,β(θ, ρ;φ) and MΣ γ,k α,β(τ, θ, ρ;φ) of the class Σ of analytic and bi-univalent functions associated with the convolution operator involving Mittag-Leffler function are introduced and investigated.
P. Long, G. Murugusundaramoorthy, H. Tang, W. Wang   +3 more
semanticscholar   +1 more source

On a Five-Parameter Mittag-Leffler Function and the Corresponding Bivariate Fractional Operators

Fractal and Fractional, 2021
Several extensions of the classical Mittag-Leffler function, including multi-parameter and multivariate versions, have been used to define fractional integral and derivative operators.
M. A. Özarslan, A. Fernandez
semanticscholar   +1 more source

Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation [PDF]

, 2008
We present a numerical method for the Monte Carlo simulation of uncoupled continuous-time random walks with a Levy alpha-stable distribution of jumps in space and a Mittag-Leffler distribution of waiting times, and apply it to the stochastic solution of ...
A. I. Saichev, D. ben Avraham, Daniel Fulger, Enrico Scalas, G. Germano, Guido Germano, I. Podlubny, J. von Neumann, L. Devroye, N. J. Ford, R. Gorenflo, S. G. Samko, S. Kotz, S. Mittnik, T. A. M. Langlands, T. J. Kozubowski, W. Feller, W. H. Press   +17 more
core   +2 more sources

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Advances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor, Adnan Khan, Kahsay Godifey Wubneh, Hafte Amsalu Kahsay   +3 more
doaj   +1 more source

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, Arran Fernandez, Dumitru Baleanu   +2 more
doaj   +1 more source

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