A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …
and health care evaluation. Nowadays, research on disease models with anonymous …
A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …
significant and wide applications in biological sciences and ecology. A fractional LV model …
Chaotic behaviour of fractional predator-prey dynamical system
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 …
fractional predator-prey biological model of two species. The theoretical results with their …
Abundant solitary wave solutions to an extended nonlinear Schrödinger's equation with conformable derivative using an efficient integration method
B Ghanbari, KS Nisar, M Aldhaifallah - Advances in Difference Equations, 2020 - Springer
The prevalence of the use of mathematical software has dramatically influenced the
evolution of differential equations. The use of these useful tools leads to faster advances in …
evolution of differential equations. The use of these useful tools leads to faster advances in …
An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets
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 …
fractional SIR model with unknown parameters. The SIR model is a system of differential …
[HTML][HTML] Modelling and analysis of fractal-fractional partial differential equations: application to reaction-diffusion model
KM Owolabi, A Atangana, A Akgul - Alexandria Engineering Journal, 2020 - Elsevier
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has
been applied to a number of ordinary differential equations to model a system of partial …
been applied to a number of ordinary differential equations to model a system of partial …
Mathematical analysis of a fractional differential model of HBV infection with antibody immune response
Fractional differential mathematical model describing the dynamics of hepatitis B viral
infection with DNA-containing capsids, the liver hepatocytes and the humoral immune …
infection with DNA-containing capsids, the liver hepatocytes and the humoral immune …
[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 …
fuzzy differential equations under certain conditions. For the concerned investigation, we …
Generalization of Caputo-Fabrizio fractional derivative and applications to electrical circuits
A new fractional derivative with a non-singular kernel involving exponential and
trigonometric functions is proposed in this paper. The suggested fractional operator includes …
trigonometric functions is proposed in this paper. The suggested fractional operator includes …
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel
In this paper, we analyze the dynamical behavior of fish farm model related to Atangana–
Baleanu derivative of arbitrary order. The model is constituted with the group of nonlinear …
Baleanu derivative of arbitrary order. The model is constituted with the group of nonlinear …