Mathematical analysis of dengue fever outbreak by novel fractional operators with field data
S Qureshi, A Atangana - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
An epidemiological model is proposed for three different types of novel fractional-order
derivative operators known as the Caputo, the Caputo–Fabrizio, and the Atangana–Baleanu …
derivative operators known as the Caputo, the Caputo–Fabrizio, and the Atangana–Baleanu …
On the modeling of the interaction between tumor growth and the immune system using some new fractional and fractional-fractal operators
B Ghanbari - Advances in difference equations, 2020 - Springer
Humans are always exposed to the threat of infectious diseases. It has been proven that
there is a direct link between the strength or weakness of the immune system and the spread …
there is a direct link between the strength or weakness of the immune system and the spread …
[HTML][HTML] A mathematical model and numerical solution for brain tumor derived using fractional operator
In this paper, we present a mathematical model of brain tumor. This model is an extension of
a simple two-dimensional mathematical model of glioma growth and diffusion which is …
a simple two-dimensional mathematical model of glioma growth and diffusion which is …
Analysis of a fractional model of the Ambartsumian equation
The prime target of this work is to investigate a fractional model of the Ambartsumian
equation. This equation is very useful to describe the surface brightness of the Milky Way …
equation. This equation is very useful to describe the surface brightness of the Milky Way …
An epidemiological MSEIR model described by the Caputo fractional derivative
A fractional MSEIR model is presented, involving the Caputo fractional derivative. The
equilibrium points and the basic reproduction number are computed. An analysis of the local …
equilibrium points and the basic reproduction number are computed. An analysis of the local …
System of fractional differential algebraic equations with applications
One of the important classes of coupled systems of algebraic, differential and fractional
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …
A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
In this paper, we solve a system of fractional differential equations within a fractional
derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the …
derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the …
New approaches to the fractional dynamics of schistosomiasis disease model
In this paper, schistosomiasis fractional order dynamic model is examined via exponential
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …
Collocation methods for fractional differential equations involving non-singular kernel
A system of fractional differential equations involving non-singular Mittag-Leffler kernel is
considered. This system is transformed to a type of weakly singular integral equations in …
considered. This system is transformed to a type of weakly singular integral equations in …
[HTML][HTML] Analytic solution of a fractional order mathematical model for tumour with polyclonality and cell mutation
It is well established that gliomas are heterogeneous (polyclonal), that the degree of
heterogeneity always rises with grade. It is believed that the more cancerous cells have a …
heterogeneity always rises with grade. It is believed that the more cancerous cells have a …