Dynamics of a fractional order mathematical model for COVID-19 epidemic
In this work, we formulate and analyze a new mathematical model for COVID-19 epidemic
with isolated class in fractional order. This model is described by a system of fractional-order …
with isolated class in fractional order. This model is described by a system of fractional-order …
On the stability and numerical scheme of fractional differential equations with application to biology
K Hattaf - Computation, 2022 - mdpi.com
The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …
currently used in many fields of science and engineering. Therefore, the first purpose of this …
Volterra-type Lyapunov functions for fractional-order epidemic systems
C Vargas-De-León - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …
A fractional calculus based model for the simulation of an outbreak of dengue fever
K Diethelm - Nonlinear Dynamics, 2013 - Springer
We propose a new mathematical model for the simulation of the dynamics of a dengue fever
outbreak. Our model differs from the classical model in that it involves nonlinear differential …
outbreak. Our model differs from the classical model in that it involves nonlinear differential …
Mittag-Leffler stability of fractional-order Hopfield neural networks
S Zhang, Y Yu, H Wang - Nonlinear Analysis: Hybrid Systems, 2015 - Elsevier
Fractional-order Hopfield neural networks are often used to model how interacting neurons
process information. To show reliability of the processed information, it is needed to perform …
process information. To show reliability of the processed information, it is needed to perform …
Stability and bifurcation of a delayed generalized fractional-order prey–predator model with interspecific competition
Z Wang, Y **e, J Lu, Y Li - Applied Mathematics and Computation, 2019 - Elsevier
The present paper considers a delayed generalized fractional-order prey-predator model
with interspecific competition. The existence of the nontrivial positive equilibrium is …
with interspecific competition. The existence of the nontrivial positive equilibrium is …
A fractional model for the dynamics of TB virus
In this paper, we present a nonlinear fractional order model in the Caputo sense to explore
and simulate the TB dynamics. Using the TB confirmed notified cases from the year 2002 to …
and simulate the TB dynamics. Using the TB confirmed notified cases from the year 2002 to …
Dynamics of a fractional epidemiological model with disease infection in both the populations
In order to depict a situation of possible spread of infection from prey to predator, a fractional-
order model is developed and its dynamics is surveyed in terms of boundedness …
order model is developed and its dynamics is surveyed in terms of boundedness …
Existence and uniform stability analysis of fractional-order complex-valued neural networks with time delays
R Rakkiyappan, J Cao… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
This paper deals with the problem of existence and uniform stability analysis of fractional-
order complex-valued neural networks with constant time delays. Complex-valued recurrent …
order complex-valued neural networks with constant time delays. Complex-valued recurrent …
Fractional-order gradient descent learning of BP neural networks with Caputo derivative
J Wang, Y Wen, Y Gou, Z Ye, H Chen - Neural networks, 2017 - Elsevier
Fractional calculus has been found to be a promising area of research for information
processing and modeling of some physical systems. In this paper, we propose a fractional …
processing and modeling of some physical systems. In this paper, we propose a fractional …