[HTML][HTML] Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

H Singh, HM Srivastava, Z Hammouch, KS Nisar - Results in physics, 2021 - Elsevier
The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model.
An efficient computational method, which is based on the discretization of the domain and …

[HTML][HTML] Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field

MMA Khater, TA Nofal, H Abu-Zinadah… - Alexandria Engineering …, 2021 - Elsevier
This research is based on three main pillars which are studying the computational solutions
of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method …

[HTML][HTML] Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative

M Arfan, H Alrabaiah, MU Rahman, YL Sun… - Results in Physics, 2021 - Elsevier
This manuscript addressing the dynamics of fractal-fractional type modified SEIR model
under Atangana-Baleanu Caputo (ABC) derivative of fractional order y and fractal dimension …

Computational method for reaction diffusion-model arising in a spherical catalyst

H Singh, AM Wazwaz - International Journal of Applied and …, 2021 - Springer
In this paper, we consider Lane–Emden problems which have many applications in
sciences. Mainly we focus on two special cases of Lane–Emden boundary value problems …

Fractal-fractional order mathematical vaccine model of COVID-19 under non-singular kernel

EA Algehyne, M Ibrahim - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, the severe acute respiratory syndrome coronavirus (SARS-CoV-2) or COVID-
19 is researched by employing mathematical analysis under modern calculus. In this …

[HTML][HTML] Numerical computations and theoretical investigations of a dynamical system with fractional order derivative

M Arfan, I Mahariq, K Shah, T Abdeljawad… - Alexandria Engineering …, 2022 - Elsevier
This manuscript is devoted to consider population dynamical model of non-integer order to
investigate the recent pandemic Covid-19 named as severe acute respiratory syndrome …

New numerical results on existence of Volterra–Fredholm integral equation of nonlinear boundary integro-differential type

H HamaRashid, HM Srivastava, M Hama… - Symmetry, 2023 - mdpi.com
Symmetry is presented in many works involving differential and integral equations.
Whenever a human is involved in the design of an integral equation, they naturally tend to …

[HTML][HTML] Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures

JF Gómez-Aguilar, MS Osman, N Raza, A Zubair… - AIP Advances, 2021 - pubs.aip.org
In this work, the nonlinear Schrödinger's equation is studied for birefringent fibers
incorporating four-wave mixing. The improved tan ϕ (ξ) 2-expansion, first integral, and G′ G …

[HTML][HTML] Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel

A Ali, M ur Rahman, M Arfan, Z Shah, P Kumam… - Alexandria Engineering …, 2022 - Elsevier
In this manuscript, we investigate a nonlinear SIQR pandemic model to study the behavior of
covid-19 infectious diseases. The susceptible, infected, quarantine and recovered classes …

Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media

A Golbabai, O Nikan, T Nikazad - International Journal of Applied and …, 2019 - Springer
Evolution equations containing fractional derivatives can offer efficient mathematical models
for determination of anomalous diffusion and transport dynamics in multi-faceted systems …