Results 101 to 110 of about 17,914 (237)

A normalized Caputo–Fabrizio fractional diffusion equation

open access: yesAIMS Mathematics
We propose a normalized Caputo–Fabrizio (CF) fractional diffusion equation. The CF fractional derivative replaces the power-law kernel in the Caputo derivative with an exponential kernel, which avoids singularities. Compared to the Caputo derivative, the
Junseok Kim
doaj   +1 more source

On the stable numerical evaluation of caputo fractional derivatives

open access: yesComputers & Mathematics with Applications, 2006
AbstractThe computation of Caputo's fractional derivatives in the presence of measured data is considered as an ill-posed problem and treated by mollification techniques. It is shown that, with the appropriate choice of the radius of mollification, the method is a regularizing algorithm, and the order of convergence is derived.
openaire   +2 more sources

Unpacking Side‐Selling: Experimental Evidence From Rural Mexico

open access: yesAgricultural Economics, EarlyView.
ABSTRACT With the rise of market‐led development, marketing cooperatives have emerged that offer smallholder producers a guaranteed minimum price for their cash crops. Their existence is threatened when members side‐sell a part of their harvest to outside buyers.
Stephen Pitts   +2 more
wiley   +1 more source

Investigating the Effect of Attribute Non‐Attendance in Different Elicitation Formats: Single Discrete Choice, Rank‐Order Discrete Choice, and Best Worst Scaling

open access: yesAgricultural Economics, EarlyView.
ABSTRACT This paper investigates methodological issues related to attribute non‐attendance (ANA) in choice experiments (CEs). First evaluates the variation in the prevalence of ANA across various non‐hypothetical choice experiments (NHCEs) elicitation formats compared to hypothetical choice experiments (HCEs).
Ahmed Yangui   +2 more
wiley   +1 more source

Introduction to the fractional-order chaotic system under fractional operator in Caputo sense

open access: yesAlexandria Engineering Journal, 2021
In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
doaj  

Complex non‐Markovian dynamics and the dual role of astrocytes in Alzheimer’s disease development and propagation

open access: yesQuantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell functions.
Swadesh Pal, Roderick Melnik
wiley   +1 more source

The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

open access: yesAlexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek   +2 more
doaj  

Stability and Hopf Bifurcations Analysis in a Three‐Phase Dengue Diffusion Model With Time Delay in Fractional Derivative and Laplace–Adomian Decomposition Numerical Approach

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.
ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi   +4 more
wiley   +1 more source

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan   +3 more
wiley   +1 more source

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

open access: yesComplexity, 2019
In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio   +4 more
doaj   +1 more source

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