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 …

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 …

[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 …

A new generalized definition of fractional derivative with non-singular kernel

K Hattaf - Computation, 2020 - mdpi.com
This paper proposes a new definition of fractional derivative with non-singular kernel in the
sense of Caputo which generalizes various forms existing in the literature. Furthermore, the …

An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model

B Ghanbari, H Günerhan, HM Srivastava - Chaos, Solitons & Fractals, 2020 - Elsevier
In recent decades, studying the behavior of biological species has become one of the most
fascinating areas of applied mathematics. The high importance of conservation of rare …

[HTML][HTML] Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials

RM Ganji, H Jafari, M Kgarose… - Alexandria Engineering …, 2021 - Elsevier
This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense.
We present a new technique using the clique polynomial as basis function for the …

[HTML][HTML] Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

MMA Khater, AES Ahmed, MA El-Shorbagy - Results in Physics, 2021 - Elsevier
The computational solutions for the fractional mathematical system form of the HIV-1
infection of CD4+ T-cells are investigated by employing three recent analytical schemes …

Mathematical analysis of COVID-19 via new mathematical model

S Ahmad, S Owyed, AH Abdel-Aty, EE Mahmoud… - Chaos, Solitons & …, 2021 - Elsevier
We develop a new mathematical model by including the resistive class together with
quarantine class and use it to investigate the transmission dynamics of the novel corona …

Analysis of drug treatment of the fractional HIV infection model of CD4+ T-cells

H Singh - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper we consider fractional order model to HIV infection whose components are
plasma densities of uninfected CD 4+ T-cells, the infected such cells and the free virus. The …