Results 21 to 30 of about 5,151,543 (91)

Laplace transform and the Mittag-Leffler function

open access: yes, 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   +1 more
core   +1 more source

Sobre as funções Mittag-Leffler e o modelo fracionário de materiais viscoelásticos [PDF]

open access: yes, 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  

On the p-k-Mittag-Leffler function

open access: yes, 2017
In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional ...
Dorrego, Gustavo   +6 more
core   +1 more source

On Modifications of the Gamma Function by Using Mittag-Leffler Function

open access: yes, 2021
Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function ...
Asifa Tassaddiq, Abdulrahman Alruban
core   +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, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
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

open access: yesAdvanced Materials, Volume 38, Issue 51, 11 September 2026.
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

Some Remarks on Estimate of Mittag-Leffler Function

open access: yes, 2019
The estimate of Mittag-Leffler function has been widely applied in the dynamic analysis of fractional-order systems in some recently published papers. In this paper, we show that the estimate for Mittag-Leffler function is not correct.
Zhen Wang   +3 more
core   +1 more source

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

open access: yes, 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

Models for Temporal Clustering of Extreme Events With Applications to Mid‐Latitude Winter Cyclones

open access: yesEnvironmetrics, Volume 37, Issue 6, September 2026.
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

Generalized Integral Transform and Fractional Calculus Operators Involving a Generalized Mittag-Leffler (ML)-Type Function

open access: yes, 2023
In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associated
Ankit Pal
core   +1 more source

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