Results 21 to 30 of about 1,815 (76)

Sobre as funções Mittag-Leffler e o modelo fracionário de materiais viscoelásticos [PDF]

open access: yes, 2006
Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Mecânica.Materiais viscoelásticos são hoje largamente aplicados em vários ramos da engenharia, com destaque para a mecânica e aeroespacial.
Moschen, Izolda Del Corno
core  

Generalized Integral Transform and Fractional Calculus Operators Involving a Generalized Mittag-Leffler (ML)-Type Function

open access: yes, 2023
In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associated
Ankit Pal
core   +1 more source

Matrix Mittag‑Leffler function in fractional systems and its computation

open access: yes, 2018
Matrix Mittag‑Leffler functions play a key role in numerous applications related to systems with fractional dynamics. That is why the methods for computing the matrix Mittag‑Leffler function are so important.
Matychyn, I., Onyshchenko, V.
core   +1 more source

On Bessel-Maitland Function and m-Parameter Mittag-Leffler Function Associated with Fractional Calculus Operators and its Applications

open access: yes, 2023
Fractional calculus is of utmost importance because of its extensive use in various fields of inequality theory, applied mathematics, science and engineering. In this paper, our aim is to discuss some image formulas involving various fractional operators
Mishra Pandey, Rupakshi   +2 more
core   +1 more source

Some Remarks on Estimate of Mittag-Leffler Function

open access: yes, 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.
Zhen Wang   +3 more
core   +1 more source

On asymptotics of discrete Mittag-Leffler function [PDF]

open access: yes, 2014
summary:The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters).
Nechvátal, Luděk
core   +1 more source

A Matrix Mittag–Leffler Function and the Fractional Nonlinear Partial Integro-Differential Equation in ℝn

open access: yes, 2023
In this paper, we introduce the matrix Mittag–Leffler function, which is a generalization of the multivariate Mittag–Leffler function, in order to investigate the uniqueness of the solutions to a fractional nonlinear partial integro-differential equation
Joshua Beaudin   +3 more
core   +1 more source

Convolution Properties for Analytic Functions Defined by q−Mittag-Leffler Function

open access: yes, 2021
Son zamanlarda, Mittag-Leffler fonksiyonu yalınkat fonksiyonlar ile ilgili çalışmalarda önemli rol oynamaktadır. Bu makalede, yapılan son çalışmaların ışığında$\mathfrak q$ ?Mittag-Leffler fonksiyonu ile tanımlı yalınkat fonksiyonların iki yeni alt ...
Oya MERT   +3 more
core   +1 more source

Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus?

open access: yes, 2020
In this survey we stress the importance of the higher transcendental Mittag-Leffler function in the framework of the Fractional Calculus. We first start with the analytical properties of the classical Mittag-Leffler function as derived from being the ...
Francesco Mainardi
core   +1 more source

MULTIVARIATE MITTAG-LEFFLER FUNCTION

open access: yes, 2023
This thesis presents an exploration of a variant of the multivariate Mittag-Leffler function, with a focus on its properties and applications in the context of solving differential equations.
Abilassan, Akmarzhan
core  

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