[HTML][HTML] A review on epidemic models in sight of fractional calculus

KS Nisar, M Farman, M Abdel-Aty, J Cao - Alexandria Engineering Journal, 2023‏ - Elsevier
Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

[HTML][HTML] A review of fractional order epidemic models for life sciences problems: Past, present and future

KS Nisar, M Farman, M Abdel-Aty… - Alexandria Engineering …, 2024‏ - Elsevier
Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel

Z Ahmad, G Bonanomi, D di Serafino… - Applied Numerical …, 2023‏ - Elsevier
Pine wilt disease is caused by nematodes transmitted by pine sawyer beetles and is fatal for
several pine species. The trees might be destroyed within a few months after being attacked …

[HTML][HTML] Fractional mathematical modeling of malaria disease with treatment & insecticides

M Sinan, H Ahmad, Z Ahmad, J Baili, S Murtaza… - Results in Physics, 2022‏ - Elsevier
Many fatal diseases spread through vertical transmission while some of them spread
through horizontal transmission and others transmit through both modes of transmission …

On the analytical soliton approximations to fractional forced Korteweg–de Vries equation arising in fluids and plasmas using two novel techniques

W Alhejaili, EA Az-Zo'bi, R Shah… - … in Theoretical Physics, 2024‏ - iopscience.iop.org
The current investigation examines the fractional forced Korteweg–de Vries (FF-KdV)
equation, a critically significant evolution equation in various nonlinear branches of science …

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

Z Ahmad, SA El-Kafrawy, TA Alandijany… - … Biology and Chemistry, 2022‏ - Elsevier
In this paper, a compartmental mathematical model has been utilized to gain a better insight
about the future dynamics of COVID-19. The total human population is divided into eight …

A novel radial basis neural network for the Zika virus spreading model

Z Sabir, TB Rada, Z Kassem, M Umar… - … Biology and Chemistry, 2024‏ - Elsevier
The motive of current investigations is to design a novel radial basis neural network
stochastic structure to present the numerical representations of the Zika virus spreading …

Dynamics of two-step reversible enzymatic reaction under fractional derivative with Mittag-Leffler Kernel

M Khan, Z Ahmad, F Ali, N Khan, I Khan, KS Nisar - Plos one, 2023‏ - journals.plos.org
Chemical kinetics is a branch of chemistry that is founded on understanding chemical
reaction rates. Chemical kinetics relates many aspects of cosmology, geology, and even in …

[HTML][HTML] Sensitivity analysis of COVID-19 with quarantine and vaccination: A fractal-fractional model

A Malik, M Alkholief, FM Aldakheel, AA Khan… - Alexandria Engineering …, 2022‏ - Elsevier
To eradicate most infectious diseases, mathematical modelling of contagious diseases has
revealed that a combination of quarantine, vaccination, and cure is frequently required …

[HTML][HTML] The Fibonacci wavelets approach for the fractional Rosenau–Hyman equations

S Kumbinarasaiah, M Mulimani - Results in Control and Optimization, 2023‏ - Elsevier
In this study, a novel approach, called the Fibonacci wavelet collocation technique (FWCT),
is presented for the numerical solution of nonlinear fractional order partial differential …