Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan
Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to
severe respiratory distress, and they can be seen in different types of animals such as …
severe respiratory distress, and they can be seen in different types of animals such as …
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells
Mathematical models in epidemiology have been studied in the literature to understand the
mechanism that underlies AIDS-related cancers, providing us with a better insight towards …
mechanism that underlies AIDS-related cancers, providing us with a better insight towards …
Stability analysis and numerical computation of the fractional predator–prey model with the harvesting rate
In this work, a fractional predator-prey model with the harvesting rate is considered. Besides
the existence and uniqueness of the solution to the model, local stability and global stability …
the existence and uniqueness of the solution to the model, local stability and global stability …
Analysis of the disturbance effect in intracellular calcium dynamic on fibroblast cells with an exponential kernel law
The maintenance of free calcium in the cytoplasm is requisite for cell integrity and the regime
of the multi-cellular process. Overproduction and degradation to manage this cellular entity …
of the multi-cellular process. Overproduction and degradation to manage this cellular entity …
[HTML][HTML] The role of prostitution on HIV transmission with memory: A modeling approach
HIV is a topic that has been greatly discussed and researched due to its impact on human
population. Many campaigns have been put into place, and people have been made aware …
population. Many campaigns have been put into place, and people have been made aware …
Approximate Solutions of the Model Describing Fluid Flow Using Generalized ρ-Laplace Transform Method and Heat Balance Integral Method
This paper addresses the solution of the incompressible second-grade fluid models.
Fundamental qualitative properties of the solution are primarily studied for proving the …
Fundamental qualitative properties of the solution are primarily studied for proving the …
Analytical solutions of a class of fluids models with the Caputo fractional derivative
N Sene - Fractal and Fractional, 2022 - mdpi.com
This paper studies the analytical solutions of the fractional fluid models described by the
Caputo derivative. We combine the Fourier sine and the Laplace transforms. We analyze the …
Caputo derivative. We combine the Fourier sine and the Laplace transforms. We analyze the …
Analytical and numerical approaches to nerve impulse model of fractional‐order
We consider a fractional‐order nerve impulse model which is known as FitzHugh–Nagumo
(F–N) model in this paper. Knowing the solutions of this model allows the management of …
(F–N) model in this paper. Knowing the solutions of this model allows the management of …
On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space
M Al-Smadi, H Dutta, S Hasan… - … Modelling of Natural …, 2021 - mmnp-journal.org
Many dynamic systems can be modeled by fractional differential equations in which some
external parameters occur under uncertainty. Although these parameters increase the …
external parameters occur under uncertainty. Although these parameters increase the …
Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
This study explores the fractional damped generalized regularized long‐wave equation in
the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With …
the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With …