Results 71 to 80 of about 20,113 (252)

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical 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   +5 more
wiley   +1 more source

The Mittag-Leffler function

open access: yes, 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

Anomalous Rotational Relaxation: A Fractional Fokker-Planck Equation Approach

open access: yes, 2005
In this study we obtained analytically relaxation function in terms of rotational correlation functions based on Brownian motion for complex disordered systems in a stochastic framework.
A. Erdelyi   +11 more
core   +2 more sources

Fractional Kinetic Modelling of the Adsorption and Desorption Processes From Experimental SPR Curves

open access: yesJournal of Chemometrics, Volume 40, Issue 1, January 2026.
ABSTRACT The application of surface plasmon resonance (SPR) has transformed the study of interactions between a ligand immobilized on the surface of a sensor chip (LS$$ {L}_S $$) and an analyte in solution (A$$ A $$). This technique enables the real‐time monitoring of binding processes with high sensitivity. The adsorption–desorption dynamics, A+LS→ALS$
Higor V. M. Ferreira   +5 more
wiley   +1 more source

Fractional Tarig transform and Mittag - Leffler function

open access: yesBoletim da Sociedade Paranaense de Matemática, 2017
In the present paper the Tarig transform of fractional order is studied by employing Mittag - Leffler function. Properties of Tarig transform are proved using the same fractional Tarig transform.
Deshna Loonker, P. K. Banerji
openaire   +4 more sources

On Fractional Helmholtz Equations [PDF]

open access: yes, 2010
MSC 2010: 26A33, 33E12, 33C60, 35R11In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function.
Samuel, M., Thomas, Anitha
core  

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

open access: yesFractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan   +2 more
semanticscholar   +1 more source

Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan   +4 more
wiley   +1 more source

Integral equations involving generalized Mittag-Leffler function

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2020
UDC 517.5 The paper deals with solving the integral equation with a generalized Mittag-Leffler function E α , β γ , q ( z ) that defines a kernel using a fractional integral operator. The existence of the solution is justified and necessary conditions on the integral equation admiting a solution are ...
Rachana Desai   +2 more
openaire   +1 more source

Theorem for Series in Three-Parameter Mittag-Leffler Function [PDF]

open access: yes, 2010
Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens   +3 more
core  

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