Results 51 to 60 of about 2,646 (211)

Mittag-Leffler functions in superstatistics [PDF]

open access: yesChaos, Solitons & Fractals, 2020
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

An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function

open access: yesAdvances in Mathematical Physics, 2013
A significant advance in characterizing the nature of the zeros and organizing the Mittag-Leffler functions into phases according to their behavior is presented. Regions have been identified in the domain of and where the Mittag-Leffler functions have
John W. Hanneken   +2 more
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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

Fractional operators with generalized Mittag-Leffler k-function

open access: yesAdvances in Difference Equations, 2019
In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
doaj   +1 more source

On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for ...
Ayşe Kübra Demirel
doaj   +1 more source

Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks

open access: yesJournal of Function Spaces, 2022
We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity.
Zahra Eidinejad   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +4 more
wiley   +1 more source

Asymptotics for a variant of the Mittag–Leffler function [PDF]

open access: yesIntegral Transforms and Special Functions, 2012
We generalize the Mittag-Leffler function by attaching an exponent to its Taylor coefficients. The main result is an asymptotic formula valid in sectors of the complex plane, which extends work by Le Roy [Bull. des sciences math. 24, 1900] and Evgrafov [Asimptoticheskie otsenki i tselye funktsii, 1979]. It is established by Plana's summation formula in
openaire   +2 more sources

Radii of starlikeness and convexity of generalized Mittag-Leffler functions [PDF]

open access: yes, 2020
In this paper our aim is to find the radii of starlikeness and convexity of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic ...
Arpad Baricz   +3 more
core   +1 more source

Estimation of the Intercept Parameter in Integrated Galton–Watson Processes

open access: yesJournal 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

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