A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

S Kumar, R Kumar, MS Osman… - Numerical methods for …, 2021 - Wiley Online Library
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets

S Kumar, A Ahmadian, R Kumar, D Kumar, J Singh… - Mathematics, 2020 - mdpi.com
In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …

From wavelet analysis to fractional calculus: A review

E Guariglia, RC Guido, GJP Dalalana - Mathematics, 2023 - mdpi.com
In this note, we review some important results on wavelets, together with their main
applications. Similarly, we present the main results on fractional calculus and their current …

Fractional modeling of blood ethanol concentration system with real data application

S Qureshi, A Yusuf, AA Shaikh, M Inc… - … Journal of Nonlinear …, 2019 - pubs.aip.org
In this study, a physical system called the blood ethanol concentration model has been
investigated in its fractional (non-integer) order version. The three most commonly used …

Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative

MA Khan, Z Hammouch… - Mathematical Modelling of …, 2019 - mmnp-journal.org
A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever
inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics …

A fractional model for the dynamics of TB virus

S Ullah, MA Khan, M Farooq - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper, we present a nonlinear fractional order model in the Caputo sense to explore
and simulate the TB dynamics. Using the TB confirmed notified cases from the year 2002 to …

Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo–Fabrizio derivative

AMS Mahdy - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this study, fractional order is applied to the glioblastoma multiforme (GBM) and IS
interaction models. The monoclonal brain tumor GBM gives rise to other tumors with varying …

A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

A Boudaoui, Y El hadj Moussa, Z Hammouch… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-
19 using the Caputo–Fabrizio derivative. We discuss the existence and uniqueness of …

A study on fractional COVID‐19 disease model by using Hermite wavelets

S Kumar, R Kumar, S Momani… - Mathematical Methods in …, 2023 - Wiley Online Library
The preeminent target of present study is to reveal the speed characteristic of ongoing
outbreak COVID‐19 due to novel coronavirus. On January 2020, the novel coronavirus …

Analysis of hepatitis B disease with fractal–fractional Caputo derivative using real data from Turkey

S Uçar - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Scholars and analysts have been increasingly focusing on the concept of modeling
contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one …