Results 61 to 70 of about 5,162,509 (207)
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao +4 more
doaj +1 more source
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang +9 more
wiley +1 more source
Mittag-Leffler functions in superstatistics [PDF]
Nowadays, there is a series of complexities in biophysics that require a suitable approach to determine the measurable quantity. In this way, the superstatistics has been an important tool to investigate dynamic aspects of particles, organisms and substances immersed in systems with non-homogeneous temperatures (or diffusivity).
openaire +2 more sources
Classes of Harmonic Functions Related to Mittag-Leffler Function
The purpose of this paper is to find new inclusion relations of the harmonic class HF(ϱ,γ) with the subclasses SHF*,KHF and TNHF(τ) of harmonic functions by applying the convolution operator Θ(ℑ) associated with the Mittag-Leffler function. Further for ϱ=0, several special cases of the main results are also obtained.
Abeer A. Al-Dohiman +3 more
openaire +4 more sources
Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays
This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function.
Tingting Xie, Mengmeng Li
doaj +1 more source
Models for Temporal Clustering of Extreme Events With Applications to Mid‐Latitude Winter Cyclones
ABSTRACT The occurrence of extreme events like heavy precipitation or storms at a certain location often shows a clustering behavior and is thus not described well by a Poisson process. We construct a general model for the inter‐exceedance times (IETs) in between extreme events which combines different candidate models for such behavior. One of them is
Christina Mathieu +3 more
wiley +1 more source
Mittag-leffler polynomials and properties [PDF]
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
Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks
In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
doaj +1 more source
Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
wiley +1 more source

