New numerical approach of solving highly nonlinear fractional partial differential equations via fractional novel analytical method

M Sultana, U Arshad, AH Abdel-Aty, A Akgül… - Fractal and …, 2022 - mdpi.com
In this work, the fractional novel analytic method (FNAM) is successfully implemented on
some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and …

[HTML][HTML] New Results of the Time-Space Fractional Derivatives of Kortewege-De Vries Equations via Novel Analytic Method

M Sultana, U Arshad, MN Alam, O Bazighifan, S Askar… - Symmetry, 2021 - mdpi.com
Symmetry performs an essential function in finding the correct techniques for solutions to
time space fractional differential equations (TSFDEs). In this article, we present the Novel …

[PDF][PDF] Solitary Wave Solution for Fractional-Order General Equal-Width Equation via Semi Analytical Technique

KK Ali, F Abd Elbary, MS Abdel-wahed, M Elsisy… - Appl …, 2023 - naturalspublishing.com
This paper presents an innovative approach to solve equal-width time-fractional-order
equations that describe the behavior of waves in a certain physical system, using the Caputo …

On the solutions of some nonlinear fractional partial differential equations using an innovative and direct procedure

A Rab, H Khan, F Tchier, S Khan, P Kumam… - Physica …, 2023 - iopscience.iop.org
In this article, a highly effective technique is implemented to obtain the approximate
solutions of strongly nonlinear fractional order partial differential equations (NFPDEs). The …

A new approximate method for solving linear and non-linear differential equation systems

AK Al-Jaberi, MS Abdul-Wahab, RH Buti - AIP Conference …, 2022 - pubs.aip.org
In this work, a new approximate method is proposed to enhance the accuracy and
convergence of solutions for differential equations. This method uses the Taylors' series in …

Topological data analysis for evaluating PDE-based denoising models

AK Al-Jaberi, EM Hameed - Journal of Physics: Conference …, 2021 - iopscience.iop.org
Image denoising is process of removing the noise (ie artifacts) in digital image. Noise
reduction is an essential process of image processing in order to improve, analyze and …

Physics-Informed Machine Learning for Numerical Solution of Hyperbolic Partial Differential Equations: An Application to the Second Order One Dimensional Linear …

VJC Farias, MB Siqueira - Available at SSRN 4778353 - papers.ssrn.com
The purpose of this work was to solve a hyperbolic partial differential equation using
machine learning techniques via the Physics Informed Neural Network-PINN method. The …

[PDF][PDF] A NEW ELEGANT APPROACH FOR SOLVING PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS

M Sultana, U Arshad, DA Raza, M Hyder - researchgate.net
Abstract The Pantograph Delay Differential Equation (PDDE), which incorporates a linear
functional argument, is the subject of this study, which is a generalization of a functional …