A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

D Baleanu, A Jajarmi, H Mohammadi… - Chaos, Solitons & …, 2020 - Elsevier
In this research, we aim to propose a new fractional model for human liver involving Caputo–
Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of …

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 …

Chaotic behaviour of fractional predator-prey dynamical system

S Kumar, R Kumar, C Cattani, B Samet - Chaos, Solitons & Fractals, 2020 - Elsevier
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

S Kumar, A Kumar, B Samet, JF Gómez-Aguilar… - Chaos, Solitons & …, 2020 - Elsevier
A tumor is most dangerous disease of medical science which is a mass or lumps of tissue
that's formed by an accumulation of abnormal cells. A famous fractional tumor-immune …

The effect of Brownian motion and noise strength on solutions of stochastic Bogoyavlenskii model alongside conformable fractional derivative

MT Islam, S Ryehan, FA Abdullah, JF Gómez-Aguilar - Optik, 2023 - Elsevier
Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control

AS Shaikh, IN Shaikh, KS Nisar - Advances in Difference Equations, 2020 - Springer
Since the first case of 2019 novel coronavirus disease (COVID-19) detected on 30 January,
2020, in India, the number of cases rapidly increased to 3819 cases including 106 deaths as …

An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

S Kumar, S Ghosh, B Samet… - Mathematical Methods in …, 2020 - Wiley Online Library
The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators

S Kumar, RP Chauhan, S Momani… - Numerical Methods for …, 2024 - Wiley Online Library
Nowadays, the complete world is suffering from untreated infectious epidemic disease
COVID‐19 due to coronavirus, which is a very dangerous and deadly viral infection. So, the …

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 …

On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …