[HTML][HTML] An efficient method for the fractional electric circuits based on Fibonacci wavelet

S Ahmed, K Shah, S Jahan, T Abdeljawad - Results in Physics, 2023 - Elsevier
In this article, we provide effective computational algorithms based on Fibonacci wavelet
(FW) to approximate the solution of fractional order electrical circuits (ECs). The proposed …

Numerical simulation for a high-dimensional chaotic Lorenz system based on Gegenbauer wavelet polynomials

M Alqhtani, MM Khader, KM Saad - Mathematics, 2023 - mdpi.com
We provide an effective simulation to investigate the solution behavior of nine-dimensional
chaos for the fractional (Caputo-sense) Lorenz system using a new approximate technique …

[PDF][PDF] Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method

M Adel, MM Khader, H Ahmad, TA Assiri - Aims Math, 2023 - aimspress.com
Simulation and numerical study for the blood ethanol concentration system (BECS) and the
Lotka-Volterra system, ie, predator-prey equations (PPEs)(both of fractional order in the …

High-Dimensional Chaotic Lorenz System: Numerical Treatment Using Changhee Polynomials of the Appell Type

M Adel, MM Khader, S Algelany - Fractal and Fractional, 2023 - mdpi.com
Presenting and simulating the numerical treatment of the nine-dimensional fractional chaotic
Lorenz system is the goal of this work. The spectral collocation method (SCM), which makes …

[HTML][HTML] Theoretical and numerical treatment for the fractal-fractional model of pollution for a system of lakes using an efficient numerical technique

M Adel, MM Khader - Alexandria Engineering Journal, 2023 - Elsevier
This article proposes an efficient simulation to investigate the fractal-fractional (FF) pollution
model's solution behavior for a network of three lakes connected by channels. With the aid of …

[HTML][HTML] Numerical simulation using the non-standard weighted average FDM for 2Dim variable-order Cable equation

M Adel, NH Sweilam, MM Khader, SM Ahmed… - Results in Physics, 2022 - Elsevier
The fractional variable-order (VO) two-dimensional (2Dim) Cable equation is one of the most
significant types of anomalous subdiffusion equations that emerge strongly in spiny neural …

Studying and simulating the fractional COVID-19 model using an efficient spectral collocation approach

YF Ibrahim, SE Abd El-Bar, MM Khader, M Adel - Fractal and Fractional, 2023 - mdpi.com
We give a theoretical and numerical analysis of a coronavirus (COVID-19) infection model in
this research. A mathematical model of this system is provided, based on a collection of …

Revolutionizing diabetic retinopathy detection using DB-SCA-UNet with Drop Block-Based Attention Model in deep learning for precise analysis of color retinal images

AK Bondala, KK Lella - The European Physical Journal Special Topics, 2024 - Springer
Diabetic retinopathy (DR) is a widespread retinal illness that manifests as swollen retinal
vessels and elevated blood sugar levels. Detecting and screening for DR early on can …

An efficient numerical simulation for the fractional COVID-19 model using the GRK4M together with the fractional FDM

Y Ibrahim, M Khader, A Megahed, F Abd El-Salam… - Fractal and …, 2022 - mdpi.com
In this research, we studied a mathematical model formulated with six fractional differential
equations to characterize a COVID-19 outbreak. For the past two years, the disease …

Numerical solutions to the fractional-order wave equation

MM Khader, M Inc, M Adel, MA Akinlar - International Journal of …, 2023 - World Scientific
New numerical solution to the linear fractional-order wave equation is presented. The
Liouville–Caputo sense fractional-derivative operator and Crank–Nicholson finite difference …