Results 61 to 70 of about 9,081 (293)
Derivation of a macroscale formulation for a class of nonlinear partial differential equations. [PDF]
, 1995 A macroscale formulation is constructed from a system of partial differential equations which govern the microscale dependent variables. The construction is based upon the requirement that the solutions of the macroscale partial differential equations ...
Pantelis, G
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Arthritis Care &Research, Accepted Article.Objective Youth who experience a sport‐related knee injury have elevated odds of overweight or obesity in 3‐10 years, compounding their risk for post‐traumatic osteoarthritis (PTOA). To inform prevention strategies, this study compared patterns of adiposity change between youth with a sport‐related knee injury and uninjured youth in the 2‐year period ...
Justin M. Losciale +6 more
wiley +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
THE AUTOMODEL SOLUTIONS OF COMPLEX VALUED NONLINEAR DIFFERENTIAL EQUATION IN PARTIAL DERIVATIVES
Вестник Северо-Кавказского федерального университета, 2022 The aim of this article is to find the automodel solutions of nonlinear equation in partial derivatives with the complex valued function. The system of equations, which equivalent to the observable model, is examined at the beginning of the article. The modification of the system to the type, which allows to get the automodel solutions, is shown.
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Revista Mexicana de Física, 2020 In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are included.
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International Journal of Adaptive Control and Signal Processing, EarlyView.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
wiley +1 more source
Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods [PDF]
, 2008 Fractional order partial differential equations, as generalization of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of applications.
Odibat, Zaid +2 more
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Advances in Difference Equations [PDF]
The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years,
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Numerical Analysis of Iterative Fractional Partial Integro-Differential Equations
Journal of Mathematics, 2022 Many nonlinear phenomena are modeled in terms of differential and integral equations. However, modeling nonlinear phenomena with fractional derivatives provides a better understanding of processes having memory effects.
Hayman Thabet +2 more
doaj +1 more source
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source