Review of fractional epidemic models

Y Chen, F Liu, Q Yu, T Li - Applied mathematical modelling, 2021 - Elsevier
The global impact of corona virus (COVID-19) has been profound, and the public health
threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A …

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 …

A fractional model for propagation of classical optical solitons by using nonsingular derivative

P Veeresha, DG Prakasha… - Mathematical Methods in …, 2024 - Wiley Online Library
The Schrödinger equation depends on the physical circumstance, which describes the state
function of a quantum‐mechanical system and gives a characterization of a system evolving …

New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, numerical solution of the mathematical model describing the deathly disease
in pregnant women with fractional order is investigated with the help of q-homotopy analysis …

[HTML][HTML] A comparative analysis of fractional-order Kaup–Kupershmidt equation within different operators

NA Shah, YS Hamed, KM Abualnaja, JD Chung… - Symmetry, 2022 - mdpi.com
In this paper, we find the solution of the fractional-order Kaup–Kupershmidt (KK) equation by
implementing the natural decomposition method with the aid of two different fractional …

A computational approach for shallow water forced Korteweg–De Vries equation on critical flow over a hole with three fractional operators

P Veeresha, M Yavuz, C Baishya - … of Optimization and Control: Theories & …, 2021 - ijocta.org
Abstract The Korteweg–De Vries (KdV) equation has always provided a venue to study and
generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the …

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

M Şenol, OS Iyiola, H Daei Kasmaei… - Advances in Difference …, 2019 - Springer
In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …

[HTML][HTML] New numerical results for the time-fractional Phi-four equation using a novel analytical approach

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Symmetry, 2020 - mdpi.com
This manuscript investigates the fractional Phi-four equation by using q-homotopy analysis
transform method (q-HATM) numerically. The Phi-four equation is obtained from one of the …

[HTML][HTML] Comparative analysis of the fractional order Cahn-Allen equation

I Khan, R Nawaz, AH Ali, A Akgul, SA Lone - Partial Differential Equations …, 2023 - Elsevier
This current work presents a comparative study of the fractional-order Cahn-Allen (CA)
equation, where the non-integer derivative is taken in the Caputo sense. The Cahn-Allen …

Numerical approximation of fractional SEIR epidemic model of measles and smoking model by using Fibonacci wavelets operational matrix approach

G Manohara, S Kumbinarasaiah - Mathematics and Computers in …, 2024 - Elsevier
In the present article, we have considered two essential models (The epidemic model of
measles and the smoking model). Across the globe, the primary cause of health problems is …