Homotopy perturbation method-based soliton solutions of the time-fractional (2+ 1)-dimensional Wu–Zhang system describing long dispersive gravity water waves in …

M Qayyum, E Ahmad, S Tauseef Saeed, H Ahmad… - Frontiers in …, 2023 - frontiersin.org
Physical phenomena and natural disasters, such as tsunamis and floods, are caused due to
dispersive water waves and shallow waves caused by earthquakes. In order to analyze and …

Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels

S Rashid, S Karim, A Akgül, A Bariq, SK Elagan - Scientific Reports, 2023 - nature.com
Lassa fever is a hemorrhagic virus infection that is usually spread by rodents. It is a fatal
infection that is prevalent in certain West African countries. We created an analytical …

Fractional variable-order calculus based state of charge estimation of Li-ion battery using dual fractional order Kalman filter

Z Liu, S Chen, B **g, C Yang, J Ji, Z Zhao - Journal of Energy Storage, 2022 - Elsevier
Although fractional order based models and approaches have been proposed to determine
battery key state characteristics, the inflexible order has a detrimental impact on battery …

Implementation of an accurate method for the analysis and simulation of electrical R‐L circuits

M Adel, HM Srivastava… - Mathematical Methods in …, 2023 - Wiley Online Library
In this study, we propose to introduce and apply an accurate numerical procedure to solve
the mathematical model of fractional order, which describes the electrical circuits composed …

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

SZ Majid, MI Asjad, MB Riaz, T Muhammad - PLoS One, 2024 - journals.plos.org
This article aims to study the time fractional coupled nonlinear Schrödinger equation, which
explains the interaction between modes in nonlinear optics and Bose-Einstein …

Robustness and exploration between the interplay of the nonlinear co-dynamics HIV/AIDS and pneumonia model via fractional differential operators and a …

S Rashid, SZ Hamidi, MA Raza, R Shafique… - Scientific Reports, 2024 - nature.com
In this article, we considered a nonlinear compartmental mathematical model that assesses
the effect of treatment on the dynamics of HIV/AIDS and pneumonia (H/AP) co-infection in a …

Modeling and numerical simulation for covering the fractional COVID-19 model using spectral collocation-optimization algorithm

MM Khader, M Adel - Fractal and fractional, 2022 - mdpi.com
A primary aim of this study is to examine and simulate a fractional Coronavirus disease
model by providing an efficient method for solving numerically this important model. In the …

[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 …

Dissipative and generative fractional RLC circuits in the transient regime

D Zorica, SM Cvetićanin - Applied Mathematics and Computation, 2023 - Elsevier
Four different types of fractional RLC circuits, namely dissipative-dissipative, dissipative-
generative, generative-dissipative, and generative-generative, formed by classical resistor …

Nonnegativity, convergence and bounds of non-homogeneous linear time-varying real-order systems with application to electrical circuit system

BK Lenka, SN Bora - Circuits, Systems, and Signal Processing, 2023 - Springer
Non-homogeneous real-order systems often arise in the construction of equations arising in
many inequality systems. This paper considers non-homogeneous linear systems attached …