Results 51 to 60 of about 5,422,443 (208)

Numerical implementation of Mittag-Leffler function: a revision study

CQD Revista Eletrônica Paulista de Matemática, 2022
This work presents a review of an algorithm to calculate the Mittag-Leffler function. In order to do it, we follow the definition of the Mittag-Leffler function in Refs.
Eberth de Almeida Correa, Leandro Xavier Cardoso, Tais Calliero Tognetti, Ronni Geraldo Gomes Amorim   +3 more
doaj  

Highly Accurate Global Padé Approximations of Generalized Mittag–Leffler Function and Its Inverse [PDF]

Journal of Scientific Computing, 2019
The two-parametric Mittag–Leffler function (MLF), Eα,β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
I. O. Sarumi, K. Furati, A. Khaliq
semanticscholar   +1 more source

On the p-k-Mittag-Leffler function

, 2017
In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional ...
Dorrego, Gustavo, Dorrego, Gustavo Abel, Luciano L. Luque, Cerutti, Rubén Alejandro, Luque, Luciano Leonardo, Ruben A. Cerutti, Gustavo A. Dorrego   +6 more
core   +1 more source

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

Fractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan, S. Jaloree, Junesang Choi   +2 more
semanticscholar   +1 more source

Oscillatory integrals for Mittag-Leffler functions with two variables

, 2023
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
Safarov, Akbar R., Ikromov, Isroil A., Ruzhansky, Michael   +2 more
core  

Traveling wave solutions constructed by Mittag–Leffler function of a (2 + 1)-dimensional space-time fractional NLS equation

, 2020
The fractional mapping equation method and fractional bi-function method are utilized to study a (2 + 1)-dimensional space-time fractional nonlinear Schrodinger equation, and its exact traveling wave solutions are constructed using the Mittag–Leffler ...
Li-jun Yu, Gang Wu, Yue-Yue Wang, Yi-Xiang Chen   +3 more
semanticscholar   +1 more source

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

, 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  

Revealing the Resonant Physics of Open Photonic Time Crystals

Laser &Photonics Reviews, EarlyView.
ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero, Sergei Gladyshev, David Globosits, Stefan Rotter, Egor A. Muljarov, Thomas Weiss   +5 more
wiley   +1 more source

Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag-Leffler Function

Symmetry, 2020
We obtain new outcomes of analytic functions linked with operator Hα,βη,k(f) defined by Mittag–Leffler function. Moreover, new theorems of differential sandwich-type are obtained.
M. F. Yassen, A. Attiya, Praveen Agarwal
semanticscholar   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source