[HTML][HTML] Solution of time fractional Fitzhugh–Nagumo equation using semi analytical techniques

ZY Fan, KK Ali, M Maneea, M Inc, SW Yao - Results in Physics, 2023 - Elsevier
In this work, we apply three different techniques to solve the Fitzhugh–Nagumo equation that
is an important equation used to describe the propagation of electrical signals in excitable …

[HTML][HTML] Effects of fractional order time derivative on the solitary wave dynamics of the generalized ZK–Burgers equation

N Faraz, M Sadaf, G Akram, I Zainab, Y Khan - Results in Physics, 2021 - Elsevier
The generalized ZK-Burgers equation has nonlinear characteristics of the governing
equation and helps to understand nonlinear waves in many fluid problems of plasma …

On finding closed-form solutions to some nonlinear fractional systems via the combination of multi-Laplace transform and the Adomian decomposition method

R Al-Deiakeh, M Ali, M Alquran, TA Sulaiman… - 2022 - openaccess.biruni.edu.tr
In this article, two-and three-dimensional nonlinear fractional partial differential systems are
solved by employing the methods of double and triple Laplace-Adomian decomposition. The …

A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem

SK Sahoo, V Gupta - Computers & Mathematics with Applications, 2023 - Elsevier
The design and analysis of a finite difference method for solving a class of time-fractional
singularly perturbed convection-diffusion problems is the subject of this paper. The time …

[HTML][HTML] New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation

H Tariq, H Ahmed, H Rezazadeh, S Javeed… - Results in Physics, 2021 - Elsevier
In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–
Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and …

A robust higher-order finite difference technique for a time-fractional singularly perturbed problem

SK Sahoo, V Gupta, S Dubey - Mathematics and Computers in Simulation, 2024 - Elsevier
A higher-order finite difference method is developed to solve the variable coefficients
convection–diffusion singularly perturbed problems (SPPs) involving fractional-order time …

The fractional analysis of thermo-elasticity coupled systems with non-linear and singular nature

A Rab, S Khan, H Khan, F Tchier, S Jebran, F Tawfiq… - Scientific Reports, 2024 - nature.com
It is mentioned that understanding linear and non-linear thermo-elasticity systems is
important for understanding temperature, elasticity, stresses, and thermal conductivity. One …

Study on the Pretreatment of Soil Hyperspectral and Na+ Ion Data under Different Degrees of Human Activity Stress by Fractional-Order Derivatives

A Tian, J Zhao, B Tang, D Zhu, C Fu, H Xiong - Remote Sensing, 2021 - mdpi.com
Soluble salts in saline soil often exist in the form of salt base ions, and excessive water-
soluble base ions can harm plant growth. As one of the water-soluble base ions, Na+ ion, is …

[PDF][PDF] Analytical simulation for the mutual influence of temporal and spatial Caputo-derivatives embedded in some physical models

M Al-Dolat, M Alquran, I Jaradat, M Ali - Rom. Rep. Phys, 2022 - researchgate.net
In this paper, we dilated the residual power series method (RPSM) into higher dimensional
fractional space to explore the mutual influence of temporal and spatial Caputo-derivatives …