Results 41 to 50 of about 2,715,137 (155)

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

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

A Two-Way Convolution of the Mittag-Leffler Function with Sheffer Polynomials

Mathematics
This article presents a two-way convolution of the Mittag-Leffler function with Sheffer polynomials via the umbral algebraic method, thereby introducing the Mittag-Leffler–Sheffer polynomials (MLSPs) and the Sheffer–Mittag-Leffler function (SMLF).
Waseem Ahmad Khan, Areefa Khatoon, Khidir Shaib Mohamed, Muntasir Suhail, Habeeb Ibrahim, Naglaa Mohammed   +5 more
doaj   +1 more source

Differentiation of the Wright Functions with Respect to Parameters and Other Results

Applied Sciences, 2022
In this work, we discuss the derivatives of the Wright functions (of the first and the second kinds) with respect to parameters. The differentiation of these functions leads to infinite power series with the coefficients being the quotients of the ...
Alexander Apelblat, Francesco Mainardi
doaj   +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

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

On asymptotics of discrete Mittag-Leffler function [PDF]

Mathematica Bohemica, 2014
On the base of the backward fractional \(h\)-sum \[ \nabla_h^{-\mu} f(t_n) := \frac{h}{\Gamma_h(\mu)} \sum\limits_{k=1}^{n} (t_{n-k+1})_h^{(\mu-1)} f(t_k),\tag{1} \] the following fractional \(h\)-differences are considered -- the Riemann-Liouville backward fractional \(h\)-differences \[ {}_{\text{R-L}} \nabla_h^{\alpha} f(t_n) := \nabla_h \nabla_h^{-(
openaire   +1 more source

Mittag-leffler polynomials and properties [PDF]

, 2019
YÖK Tez No: 569716Bu tez beş bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. Bu tezin ne ile ilgili olduğuna dair kısa bir tanıtım ve Mittag-Leffler polinomlarının literatür özeti verilmiştir. İkinci bölümde önbilgiler ve diğer bölümlerde
Yılmaz, Nihal
core   +2 more sources

Mittag-Leffler vector random fields with Mittag-Leffler direct and cross covariance functions

, 2013
Click on the DOI link to access the article (may not be free).In terms of the two-parameter Mittag-Leffler function with specified parameters, this paper introduces the Mittag-Leffler vector random field through its finite-dimensional characteristic ...
Ma, Chunsheng
core   +1 more source