Results 41 to 50 of about 237 (141)

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Are consumers willing to pay more for future organic? Preference for certified transitional labels

Journal of the Agricultural and Applied Economics Association, EarlyView.
Abstract The organic industry in the United States (US) has never kept pace with consumer demand and heavily relies on imports. This paper investigates how consumers value certified transitional labels, indicating growers are transitioning from conventional to organic production.
Xuqi Chen, Jared Gars, Dinglin Duan, Zhifeng Gao, Xin Zhao   +4 more
wiley   +1 more source

Pantograph System with Mixed Riemann-Liouville and‎ ‎Caputo-Hadamard‎ ‎Sequential~‎ ‎Fractional Derivatives‎: ‎Existence and Ulam-Stability [PDF]

Mathematics Interdisciplinary Research
‎The pantograph equation improves the mathematical model of the system includes modeling the motion of the wire connected with the dynamics of the supports and modeling the dynamics of the pantograph‎. ‎The subject of this paper is the existence and Ulam
Abdul Hamid Ganie, Mohamed Houas, Mohammad Esmael Samei   +2 more
doaj   +1 more source

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

Mathematical 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, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives

Beni-Suef University Journal of Basic and Applied Sciences
Abstract We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction mapping principle and Leray–Schauder’s alternative.
Mohamed Houas, Abdul Hamid Ganie, Mohammad Esmael Samei, Tina Maniee   +3 more
openaire   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation [PDF]

, 2014
In recent years, it has been found that many phenomena in engineering, physics, chemistry and other sciences can be described very successfully by models using mathematical tools from Fractional Calculus.
Liu, Fawang, Turner, I., Song, J., Turner, Ian, Yu, Q., Yu, Qiang, Liu, F.   +6 more
core   +1 more source

On a Boundary-Initial Value Problem for Fractional Differential Equation with Sequential Caputo derivatives

In this paper, we investigate a fractional differential equation involving sequential Caputo derivatives, motivated by recent research on fractional models with multiple memory effects. Using techniques inspired by earlier works on sequential fractional operators, we derive the exact analytic solution of the problem in terms of the bivariate Mittag ...
Yusuf, Fayziev, Shakhnoza, Jumaeva
openaire   +2 more sources

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

Mathematical 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