Application of analytical techniques for solving fractional physical models arising in applied sciences

MM AlBaidani, AH Ganie, F Aljuaydi, A Khan - Fractal and Fractional, 2023 - mdpi.com
In this paper, we examined the approximations to the time-fractional Kawahara equation and
modified Kawahara equation, which model the creation of nonlinear water waves in the long …

An efficient approximate analytical technique for the fractional model describing the solid tumor invasion

HB Chethan, R Saadeh, DG Prakasha, A Qazza… - Frontiers in …, 2024 - frontiersin.org
In this manuscript, we derive and examine the analytical solution for the solid tumor invasion
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …

[HTML][HTML] Dynamical behaviour of HIV/AIDS model using fractional derivative with Mittag-Leffler kernel

A Shaikh, KS Nisar, V Jadhav, SK Elagan… - Alexandria Engineering …, 2022 - Elsevier
A mathematical model describing the HIV/AIDS transmission dynamics in the existence of an
aware community using fractional differential operator having Mittag–Leffler kernel is …

On the fractional-order model of HIV-1 infection of CD4+ T-cells under the influence of antiviral drug treatment

R Ullah, R Ellahi, SM Sait… - Journal of Taibah …, 2020 - Taylor & Francis
In this article, the fractional-order model, namely HIV-1 infection of CD4+ T-cells combined
with the effect of antiviral drug treatment, is investigated. The model includes three unknown …

A comparative study of Shehu variational iteration method and Shehu decomposition method for solving nonlinear Caputo time-fractional wave-like equations with …

A Khalouta, A Kadem - Applications and Applied …, 2020 - digitalcommons.pvamu.edu
In this paper, a comparative study between two different methods for solving nonlinear
Caputo time-fractional wave-like equations with variable coefficients is conducted. These …

High performance computational approach to study model describing reversible two-step enzymatic reaction with time fractional derivative

HB Chethan, NB Turki, DG Prakasha - Scientific Reports, 2024 - nature.com
Enzyme reactions have numerous applications in diverse disciplines of science like
chemistry, biology and biomechanics. In this study, we examine the role and act of enzymes …

An efficient technique to solve time-fractional Kawahara and modified Kawahara equations

P Koppala, R Kondooru - Symmetry, 2022 - mdpi.com
In this article, we analysed the approximate solutions of the time-fractional Kawahara
equation and modified Kawahara equation, which describe the propagation of signals in …

Exact solution of nonlinear time-fractional reaction-diffusion-convection equation via a new coupling method

A Khalouta - International Journal of Nonlinear Analysis and …, 2022 - ijnaa.semnan.ac.ir
The main aim of this work is to find the exact solution in the form of the Mittag-Leller function
for the nonlinear time-fractional reaction-diffusion-convection equation via a new coupling …

Investigation of fuzzy fractional Kuramoto–Sivashinsky equations by an efficient approach

J Ahmad, F Nusrat - Optical and Quantum Electronics, 2024 - Springer
In this article, we examine the Kuramoto–Sivashinsky equation, a nonlinear model that
modifies a variety of physical and chemical scenarios. The main goal of this article is to find …

A novel approach for fractional Kawahara and modified Kawahara equations using Atangana-Baleanu derivative operator

DB Dhaigude, VN Bhadgaonkar - J. Math. Comput. Sci., 2021 - scik.org
In this manuscript, iterative laplace transform method is applied to obtain approximate
solutions of the nonlinear time fractional Kawahara and modified Kawahara equations …