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 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 …

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 …

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 …

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 …

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 …

[HTML][HTML] Jaya optimization algorithm for transient response and stability enhancement of a fractional-order PID based automatic voltage regulator system

TA Jumani, MW Mustafa, Z Hussain, MM Rasid… - Alexandria engineering …, 2020 - Elsevier
Considering the higher flexibility in tuning process and finer control action of the fractional-
order proportional integral derivative (FOPID) controller over the conventional proportional …

[HTML][HTML] Evaluation of one dimensional fuzzy fractional partial differential equations

K Shah, AR Seadawy, M Arfan - Alexandria Engineering Journal, 2020 - Elsevier
This manuscript is related to investigate analytical solutions to some linear fractional partial
fuzzy differential equations under certain conditions. For the concerned investigation, we …

Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel

K Logeswari, C Ravichandran… - Numerical Methods for …, 2024 - Wiley Online Library
In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown‐like
spikes on the surface of the virus) causing severe infections like acute lung injury and acute …

Innovative and diverse soliton solutions of the dual core optical fiber nonlinear models via two competent techniques

MT Islam, MA Akter, JF Gomez-Aguilar… - Journal of Nonlinear …, 2023 - World Scientific
It becomes an interesting part for the researchers to analyze the dynamical behavior of
soliton propagation in optical fibers for trans-oceanic and trans-continental distances. In this …