Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing …

B Maayah, OA Arqub, S Alnabulsi, H Alsulami - Chinese Journal of Physics, 2022 - Elsevier
Recently, it has become critical to attempt to recognize diseases with high death rates
around the world like infectious diseases and cancer. As a result, modeling in mathematics …

Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

X Lü, SJ Chen - Nonlinear Dynamics, 2021 - Springer
Interaction solutions between lump and soliton are analytical exact solutions to nonlinear
partial differential equations. The explicit expressions of the interaction solutions are of value …

A new study of unreported cases of 2019-nCOV epidemic outbreaks

W Gao, P Veeresha, HM Baskonus, DG Prakasha… - Chaos, Solitons & …, 2020 - Elsevier
nCOV epidemic is one of the greatest threat that the mortality faced since the World War-2
and most decisive global health calamity of the century. In this manuscript, we study the …

[PDF][PDF] A review of fractional-order models for plant epidemiology

KS Nisar, M Farman, M Abdel-Aty… - Prog. Fract. Differ …, 2024 - naturalspublishing.com
In the modern day, fractional operators are being utilized more and more to express
problems and study the spread of epidemics, reflecting the growing interest in mathematical …

[HTML][HTML] Fractional simulation for Darcy-Forchheimer hybrid nanoliquid flow with partial slip over a spinning disk

YX Li, T Muhammad, M Bilal, MA Khan… - Alexandria Engineering …, 2021 - Elsevier
The present effort elaborates the fractional analyses for Darcy-Forchheimer hybrid
nanoliquid flow over a porous spinning disk. Temperature and concentration slip conditions …

[HTML][HTML] Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique

W Gao, P Veeresha, DG Prakasha, HM Baskonus - Biology, 2020 - mdpi.com
In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a
nonlocal operator defined in the Caputo sense. With the help of the fractional natural …

New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system

W Gao, HM Baskonus, L Shi - Advances in Difference Equations, 2020 - Springer
According to the report presented by the World Health Organization, a new member of
viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan, China, on January …

[HTML][HTML] Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

BH Wang, YY Wang, CQ Dai, YX Chen - Alexandria Engineering Journal, 2020 - Elsevier
A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule
and two kinds of fractional dual-function methods with the Mittag–Leffler function is …

Caputo type fractional operator applied to Hepatitis B system

A Din, Y Li, A Yusuf, AI Ali - Fractals, 2022 - World Scientific
In our research work, we develop the analysis of a noninteger-order model for hepatitis B
(HBV) under singular type Caputo fractional-order derivative. We investigated our proposed …

Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

M ur Rahman, M Arfan, K Shah… - Chaos, Solitons & …, 2020 - Elsevier
This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our
case, modeling the recent pandemic due to corona virus (COVID-19). The considered model …