Results 21 to 30 of about 494,314 (293)

Modifications of the Optimal Auxiliary Function Method to Fractional Order Fornberg-Whitham Equations

Computer Modeling in Engineering & Sciences, 2023
H. Ullah, M. Fiza, I. Khan, Abd Allah A. Mosa, S. Islam, A. Mohammed   +5 more
semanticscholar   +2 more sources

Dynamics of SEIR epidemic model by optimal auxiliary functions method

Chaos, Solitons & Fractals, 2021
The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions ...
Bogdan Marinca, Vasile Marinca, Ciprian Bogdan   +2 more
openaire   +3 more sources

Optimal Static Output Feedback Stabilization of Fractional-Order Systems With Caputo Derivative Order 1 ≤ α < 2

IEEE Access, 2023
The design of optimal static output feedback controllers for fractional-order linear systems with Caputo derivative order 1 ≤ α < 2 is addressed in this paper.
Ming-Shue Lin, Jenq-Lang Wu, Chee-Fai Yung   +2 more
doaj   +1 more source

Inverse Optimal Output Regulation for a Class of Uncertain Nonlinear Systems

Journal of Harbin University of Science and Technology, 2023
For a class of nonlinear systems with unknown parameter vector and disturbance, the inverse optimal output regulation problem driven by a linear exosystem is researched.
MENG Guizhi, LÜ Yan
doaj   +1 more source

Rational approximation for solving Fredholm integro-differential equations by new algorithm

Open Physics, 2023
In this article, we used a novel semi-analytical approach, named the optimal auxiliary function method (OAFM), to solve integro-differential equations (IDEs).
Nawaz Rashid, Sumera, Zada Laiq, Ayaz Muhammad, Ahmad Hijaz, Awwad Fuad A., Ismail Emad A. A.   +6 more
doaj   +1 more source

Modified optimal auxiliary function method for approximate-analytical solutions in fractional order nonlinear Foam Drainage equations

Partial Differential Equations in Applied Mathematics
The study aims to obtain new approximate analytical solutions for the fractional order nonlinear Foam Drainage equation through a novel modification of the well-known Optimal Auxiliary Functions Method (OAFM). This method systematically constructs auxiliary functions, and by optimizing their parameters, it provides approximate solutions closely ...
Mimoon Ismael, Saba Hat, Osama Alabdali, S. Lone, Ali Hasan Ali   +4 more
semanticscholar   +3 more sources

Improved physiological noise regression in fNIRS: a multimodal extension of the General Linear Model using temporally embedded Canonical Correlation Analysis [PDF]

, 2020
For the robust estimation of evoked brain activity from functional Near-Infrared Spectroscopy (fNIRS) signals, it is crucial to reduce nuisance signals from systemic physiology and motion.
Boas, David A., Li, Xinge, Müller, Klaus-Robert, von Lühmann, Alexander, Yücel, Meryem A.   +4 more
core   +1 more source

New algorithm for the approximate solution of generalized seventh order Korteweg-Devries equation arising in shallow water waves

Results in Physics, 2021
In the present article, we present for the first time optimal auxiliary function method (OAFM) for partial differential equation (PDEs). To find efficient and precision the proposed method, we take Lax’s seventh order korteweg-de Vries (KdV) and seventh ...
Laiq Zada, Rashid Nawaz, Muhammad Ayaz, Hijaz Ahmad, Hussam Alrabaiah, Yu-Ming Chu   +5 more
doaj   +1 more source

New approximate solutions to time fractional order partial differential equations optimal auxilary function method

Thermal Science, 2023
In this article, approximate solutions of some PDE of fractional order are investi?gated with the help of a new semi-analytical method called the optimal auxiliary function method.

semanticscholar   +1 more source

Optimal Energy Storage Allocation Strategy by Coordinating Electric Vehicles Participating in Auxiliary Service Market

IEEE Access, 2021
The further liberalization of China’s electricity market encourages demand-side entities to participate in electricity market transactions. Electric vehicles (EVs) are developing rapidly and have high regulating potential, and are the main force ...
Dunnan Liu, Lingxiang Wang, Mingguang Liu, Heping Jia, Hua Li, Weiye Wang   +5 more
doaj   +1 more source