Results 11 to 20 of about 238 (195)
MathematicsThe main aim of our paper is concerning the damped oscillations of 3D dynamical systems, depending on a single physical parameter. This system does not admit Hamilton–Poisson structure but can be explicitly integrated, and the exact parametric solutions ...
Remus-Daniel Ene +3 more
doaj +2 more sources
Axioms, 2023 In this article, we investigate the utilization of Riemann–Liouville’s fractional integral and the Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM).
Rashid Nawaz +6 more
doaj +2 more sources
Modification of the Optimal Auxiliary Function Method for Solving Fractional Order KdV Equations
Fractal and Fractional, 2022 In this study, a new modification of the newly developed semi-analytical method, optimal auxiliary function method (OAFM) is used for fractional-order KdVs equations. This method is called the fractional optimal auxiliary function method (FOAFM). The time fractional derivatives are treated with Caputo sense.
Hakeem Ullah +5 more
openaire +2 more sources
Nonlinear Engineering, 2023 Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
doaj +1 more source
Analytical Study of Nonlinear Vibration in a Rub-Impact Jeffcott Rotor
Energies, 2021 The purpose of this work is to explore the nonlinear vibration of a rub-impact Jeffcott rotor. In the first stage, the motion is not affected by the friction force, but in the second stage, the motion is influenced by the normal force and the friction ...
Nicolae Herisanu, Vasile Marinca
doaj +1 more source
Approximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method
International Journal of Emerging Multidisciplinaries: Mathematics, 2022 In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation.
Aatif Ali, Laiq Zada, Rashid Nawaz
openaire +2 more sources
A new analytical approach to investigate human gait dynamics [PDF]
ITM Web of Conferences, 2019 In this paper we propose a new analytical approach to the study of human gait dynamics. A new and reliable method, namely the Optimal Auxiliary Functions Method (OAFM) is employed to obtain explicit and accurate analytical solutions.
Mihut Denisa, Herisanu Nicolae
doaj +1 more source
Entropy, 2023 This paper addresses the problem of decentralized safety control (DSC) of constrained interconnected nonlinear safety-critical systems under reinforcement learning strategies, where asymmetric input constraints and security constraints are considered. To
Chunbin Qin +3 more
doaj +1 more source
A new constructing auxiliary function method for global optimization
Mathematical and Computer Modelling, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong-Jun Wang, Jiang-She Zhang 0001
openaire +2 more sources
Determination of Working Methods and Normal Times of Technological Sewing Operation using MTM System [PDF]
Tekstilec, 2020 Working processes in the technological sewing process are performed on machine systems characterized by machine-manual work, where the worker and the machine work simultaneously.
Snježana Kirin, Anica Hursa Šajatović
doaj +1 more source