Results 11 to 20 of about 50 (50)

A general approach to the linear stability of viscoelastic shear‐flows

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley   +1 more source

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

Journal 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, Nelson H. T. Lemes, Yara L. Coelho, Luciano S. Virtuoso, Ana C. dos Santos Pires, Luis H. M. da Silva   +5 more
wiley   +1 more source

Generalized Fractional Integral Operators Involving the H―‐Function and Their Applications to Special Functions

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article focuses on the study of fractional integral operators involving the H―‐function. Two main theorems are established that present new fractional integral formulas associated with the H―‐function. Moreover, several well‐known results related to various special functions can be derived as particular cases by assigning suitable parameter values
S. Chandak, B. K. Tripathi, Biniyam Shimelis, Gaston Mandata N′Guerekata   +3 more
wiley   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

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

Discrete 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, Yu Wang, Tian-zeng Li, Qian-kun Wang, Sundarapandian Vaidyanathan   +4 more
wiley   +1 more source

Heterogeneous Media Heat Transfer Simulations Based on 3D‐Fractional Parametric Laplace Kernel

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper introduces a new Mittag–Leffler–Laplace memory kernel defined by Φ˜μ,ν,κα,ρs=∫0∞Eρ−μξκ/κξνα−1e−sξdξ, s>0, and develops a unified framework for modeling heat transfer in heterogeneous media with nonlocal temporal memory. The proposed kernel combines algebraic singularity, stretched attenuation, and fractional relaxation through independent ...
Rabha W. Ibrahim, Ali A. Jizany, Hasan Kahtan, Elena Kaikina   +3 more
wiley   +1 more source

A Morgan‐Voyce Polynomial Framework for Solving Variable‐Order Atangana–Baleanu Fractional Differential Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a novel and efficient spectral collocation framework for solving nonlinear variable‐order fractional differential equations (VO‐FDEs) involving the Atangana–Baleanu–Caputo (ABC) operator. Shifted Morgan‐Voyce polynomials (SMVPs) are employed as basic functions to construct a new operational matrix specifically adapted to the ...
Ghadah S. E. Noman, D. D. Pawar, Sining Zheng   +2 more
wiley   +1 more source

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam, M. J. Abedin, A. Hoque, M. G. Hafez, Jaume Giné   +4 more
wiley   +1 more source

Lyapunov Stability and Optimization of a Fractional‐Order HIV/AIDS Model Coupling Vertical Transmission With Saturated Treatment

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This research introduces a fractional‐order nonlinear model for the dynamics of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) using Caputo‐type derivatives of noninteger order. Solution properties of the model are investigated by analyzing positivity and boundedness characteristics via the generalized mean value ...
Sulaimon F. Abimbade, Furaha M. Chuma, Samson Olaniyi, Adekunle O. Sangotola, Gideon K. Gogovi, Shikha Binwal   +5 more
wiley   +1 more source

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett, Cyrus Gitonga Ngari, Grace Gakii Muthuri, Kareem Elgindy   +3 more
wiley   +1 more source