Results 1 to 10 of about 78 (65)

A New Extension of Optimal Auxiliary Function Method to Fractional Non-Linear Coupled ITO System and Time Fractional Non-Linear KDV System

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, Aaqib Iqbal, Hina Bakhtiar, Wissal Audah Alhilfi, Nicholas Fewster-Young, Ali Hasan Ali, Ana Danca Poțclean   +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).
Hakeem Ullah, Mehreen Fiza, Ilyas Khan, Nawa Alshammari, Nawaf N. Hamadneh, Saeed Islam   +5 more
doaj   +3 more sources

Optimal Auxiliary Function Method for Analyzing Nonlinear System of Belousov–Zhabotinsky Equation with Caputo Operator

Axioms, 2023
This paper introduces the optimal auxiliary function method (OAFM) for solving a nonlinear system of Belousov–Zhabotinsky equations. The system is characterized by its complex dynamics and is treated using the Caputo operator and concepts from fractional
Azzh Saad Alshehry, Humaira Yasmin, Muhammad Wakeel Ahmad, Asfandyar Khan, Rasool Shah   +4 more
doaj   +2 more sources

Nonlinear Vibration of Double-Walled Carbon Nanotubes Subjected to Mechanical Impact and Embedded on Winkler-Pasternak Foundation. [PDF]

Materials (Basel), 2022
This study was devoted to an investigation on the dynamics of double-walled carbon nanotubes (DWCNTs) under the influence of Winkler–Pasternak foundation near the primary resonance.
Herisanu N, Marinca B, Marinca V.
europepmc   +2 more sources

Comparative Analysis of the Plane Couette Flow of Couple Stress Fluid Under the Influence of Magnetohydrodynamics [PDF]

East European Journal of Physics
The present study aims to perform a comparative analysis of the plane Couette flow of a couple stress fluid under the influence of magnetohydrodynamics (MHD) using two different methods: the Optimal Auxiliary Function Method (OAFM) and the Homotopy ...
Muhammad Farooq, Ibrar Khan, Rashid Nawaz, Gamal M. Ismail, Huzaifa Umar, Hijaz Ahmad   +5 more
doaj   +3 more sources

Optimal auxiliary function method for analyzing nonlinear system of coupled Schrödinger–KdV equation with Caputo operator

Open Physics, 2023
The optimal auxiliary function method (OAFM) is introduced and used in the analysis of a nonlinear system containing coupled Schrödinger–KdV equations, all within the framework of the Caputo operator.
Alshehry Azzh Saad, Yasmin Humaira, Ganie Abdul Hamid, Ahmad Muhammad Wakeel, Shah Rasool   +4 more
doaj   +2 more sources

Analytical and Numerical Analysis of the Squeezed Unsteady MHD Nanofluid Flow in the Presence of Thermal Radiation

Journal of Nanomaterials, Volume 2022, Issue 1, 2022., 2022
In this study, the unsteady squeezing nanofluid flow between two plates with thermal radiation has been investigated. The governing equations of the flow model have been transformed to a set of nonlinear ordinary differential equations (ODEs) from a set of partial differential equations (PDEs) using a suitable similarity variable. The optimal auxiliary
Hakeem Ullah, Muhammad Arif Khan, Mehreen Fiza, Kashif Ullah, Muhammad Ayaz, Seham M. Al-Mekhlafi, Anwar Saeed   +6 more
wiley   +3 more sources

On the localized and periodic solutions to the time-fractional Klein-Gordan equations: Optimal additive function method and new iterative method

Open Physics, 2023
This investigation explores two numerical approaches: the optimal auxiliary function method (OAFM) and the new iterative method (NIM). These techniques address the physical fractional-order Klein-Gordon equations (FOKGEs), a class of partial differential
Mukhtar Safyan, Abu Hammad Ma’mon, Shah Rasool, Alrowaily Albandari W., Ismaeel Sherif M. E., El-Tantawy Samir A.   +5 more
doaj   +2 more sources

An extension of optimal auxiliary function method to fractional order high dimensional equations

Alexandria Engineering Journal, 2021
In this article, the new approach called, the optimal auxiliary function method (OAFM) has been extended with the help of the fractional complex transform method (FCTM) to fractional order partial differential equations (PDEs).
Rashid Nawaz, Laiq Zada, Farman Ullah, Hijaz Ahmad, Muhammad Ayaz, Imtiaz Ahmad, Taher A. Nofal   +6 more
doaj   +2 more sources

Analysis of the Vibro-Impact Nonlinear Damped and Forced Oscillator in the Dynamics of the Electromagnetic Actuation

Mathematics, 2023
In this work, the effect of vibro-impact nonlinear, forced, and damped oscillator on the dynamics of the electromagnetic actuation (EA) near primary resonance is studied. The vibro-impact regime is given by the presence of the Hertzian contact. The EA is
Nicolae Herisanu, Bogdan Marinca, Livija Cveticanin, Vasile Marinca   +3 more
doaj   +2 more sources