Results 51 to 60 of about 39,417 (134)

Modified optimal auxiliary functions 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, Showkat Ahmad Lone, Ali Hasan Ali   +4 more
openaire   +2 more sources

On the “Tantawy technique” and other methods for analyzing fractional Fokker–Plank type equations

Journal of Low Frequency Noise, Vibration and Active Control
The family of Fokker–Planck (FP) equations has been widely used in various physical applications, especially optical physics. It has proven effective in understanding numerous nonlinear phenomena observed in optical fiber.
Aljawhara H Almuqrin, CGL Tiofack, DV Douanla, A Mohamadou, Weaam Alhejaili, Sherif ME Ismaeel, Samir A El-Tantawy   +6 more
doaj   +1 more source

A novel approach to solving nonlinear fractional wave-like differential equations

Arab Journal of Basic and Applied Sciences
The optimal auxiliary function method (OAFM) is applied in this research paper to find analytical solutions to fractional-order strongly nonlinear wave-like differential equations with variable coefficients.
Ibrahim Mahariq, Muhammad Nawaz, Mehreen Fiza, Hakeem Ullah, Ali Akgül, Allanazar Qutlimurotov, Seham M Al-Mekhlafi   +6 more
doaj   +1 more source

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

Computer Modeling in Engineering & Sciences, 2023
Hakeem Ullah, Mehreen Fiza, Ilyas Khan, Abd Allah A. Mosa, Saeed Islam, Abdullah Mohammed   +5 more
openaire   +1 more source

An efficient model‐free adaptive optimal control of continuous‐time nonlinear non‐zero‐sum games based on integral reinforcement learning with exploration

IET Control Theory & Applications
To reduce the learning time and space occupation, this study presents a novel model‐free algorithm for obtaining the Nash equilibrium solution of continuous‐time nonlinear non‐zero‐sum games.
Lei Guo, Wenbo Xiong, Yuan Song, Dongming Gan   +3 more
doaj   +1 more source

New global optimization technique by using auxiliary function method in directional search with computer applications

, 2020
89
openaire   +1 more source

Analytical approximate solutions to the Thomas-Fermi equation

Open Physics, 2014
Marinca Vasile, Ene Remus-Daniel
doaj   +1 more source

Explainable IAOA-CNN-CBAM-SVR model for predicting air consumption of auxiliary nozzles with limited sample size. [PDF]

PLoS One
Shen M, Cao Y, Xiong X, Wang Z, Yu L, Yang X, Lv Y.   +6 more
europepmc   +1 more source

Parameter Selection in Coupled Dynamical Systems for Tomographic Image Reconstruction. [PDF]

J Imaging
Kasai R, Al-Ola OMA, Yoshinaga T.
europepmc   +1 more source

Multimodal data integration and machine learning methods for early detection and risk prediction of pulmonary diseases in athletes. [PDF]

Front Med (Lausanne)
Zhang R, Chang Q.
europepmc   +1 more source