Results 31 to 40 of about 167 (138)

Turán type inequalities for generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2017
In this paper, we show several Turán type inequalities for a generalized Mittag-Leffler function with four parameters via the [Formula: see text]-gamma function.
Xiang Kai Dou, Li Yin
openaire   +3 more sources

Further Generalizations of Some Fractional Integral Inequalities

, 2023
This paper aims to establish generalized fractional integral inequalities for operators containing Mittag–Leffler functions. By applying (α,h−m)−p-convexity of real valued functions, generalizations of many well-known inequalities are obtained.
Hafsa Yasmeen, Matloob Anwar, Dong Chen, Ghulam Farid   +3 more
core   +1 more source

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

Some integral transforms of the generalized k-Mittag-Leffler function

Publications de l'Institut Mathematique, 2019
We generalize the notion ?k-Mittag-Leffler function?, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function.
Feng Qi, Kottakkaran Sooppy Nisar
openaire   +3 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

Узагальнені дробові нерівності типу Ерміта-Адамара в термінах нових узагальнених дробових інтегралів Катугампола [PDF]

, 2022
A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for
M. Omaba, Omaba, M.
core   +1 more source

Convolution features of univalent meromorphic functions generated by Barnes-Mittag-Leffler function

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The Mittag-Leffler function plays an important role in Geometric Function Theory, particularly in the study of analytic and meromorphic function classes.
Yavuz Tuğba, Altınkaya Şahsene
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

Laplace transform and the Mittag-Leffler function

, 2014
CAPES - COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL E NÍVEL SUPERIORThe exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation ...
Teodoro, G. Sales, Oliveira, E. Capelas de   +1 more
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