Results 51 to 60 of about 5,162,509 (207)

Integral Representation of the Mittag-Leffler Function

Russian Mathematics, 2022
Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using this integral representation, generalization of the integral representation of the Mittag-Leffler function has been ...
openaire   +3 more sources

Comparison of Continuous‐Time Random Walk and Fractional Order Calculus Diffusion Models for Preoperative Breast Lesion Characterization: Diagnosis, Biomarker Prediction and Molecular Subtyping

Journal of Magnetic Resonance Imaging, EarlyView.
ABSTRACT Background Accurate preoperative characterization of breast lesions is important for individualized management. The conventional monoexponential (Mono) model has limited ability to capture the complex microstructure of lesions. Non‐Gaussian diffusion models, including continuous‐time random walk (CTRW) and fractional‐order calculus (FROC), may
Yimeng Cao, Shaomin Li, Zhexuan Yang, Xueyan Liu, Shifang Tan, Tian Ren, Wenjia Wang, Haiyang Li, Xingzhi Chen, Xin Zhao, Meiying Cheng   +10 more
wiley   +1 more source

The Mittag-Leffler function

, 2020
We review the function theoretical properties of the Mittag-Leffler function $E_{a,b}\left( z\right) $ in a self-contained manner, but also add new results; more than half is new!
openaire   +2 more sources

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

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

Geometric Properties of Normalized Mittag–Leffler Functions [PDF]

Symmetry, 2019
The aim of this paper is to investigate certain properties such as convexity of order μ , close-to-convexity of order 1 + μ /2 and starlikeness of normalized Mittag–Leffler function. We use some inequalities to prove our results. We also discuss the close-to-convexity of Mittag–Leffler functions with respect to certain starlike functions ...
Saddaf Noreen, Mohsan Raza, Jin-Lin Liu, Muhammad Arif 0001   +3 more
openaire   +3 more sources

SEMIGROUP-LIKE PROPERTY OF MITTAG-LEFFLER FUNCTION [PDF]

, 2016
In this article, we discuss the semigroup-like property of Mittag-Leffler function which is used to solve the initial value problem of an ordinary differential equation involving Caputo fractional ...
Guswanto, Bambang Hendriya
core   +1 more source

Viscoelastic Modeling of Stress Relaxation in Model High‐Performance Covalent Adaptable Networks

Journal of Polymer Science, EarlyView.
Covalent adaptable networks, often referred to as vitrimers, contain a certain fraction of bonds that are able to exchange with other bonds. The ability of this bond exchange to relax stress or result in flow of the material depends on the concentration and specific concentration of these bonds in ways that can be quantified.
Broderick Lewis, Benjamin R. Hafner, Cheol Park, Joseph M. Dennis, Kenneth R. Shull   +4 more
wiley   +1 more source

Estimation of the Intercept Parameter in Integrated Galton–Watson Processes

Journal of Time Series Analysis, EarlyView.
ABSTRACT We study the estimation of the intercept parameter in an integrated Galton–Watson process, an important building block for many count‐valued time series models. In this unit root setting, the ordinary least squares estimator is known to be inconsistent, whereas the existing weighted least squares (WLS) estimator is consistent only in the case ...
Yang Lu
wiley   +1 more source