A survey on the stability of fractional differential equations: Dedicated to Prof. YS Chen on the Occasion of his 80th Birthday
CP Li, FR Zhang - The European Physical Journal Special Topics, 2011 - Springer
Recently, fractional calculus has attracted much attention since it plays an important role in
many fields of science and engineering. Especially, the study on stability of fractional …
many fields of science and engineering. Especially, the study on stability of fractional …
Nonlinear dynamics and chaos in fractional-order neural networks
E Kaslik, S Sivasundaram - Neural networks, 2012 - Elsevier
Several topics related to the dynamics of fractional-order neural networks of Hopfield type
are investigated, such as stability and multi-stability (coexistence of several different stable …
are investigated, such as stability and multi-stability (coexistence of several different stable …
A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump
Fractional calculus is closer to reality and has the same memory characteristics as
memristor. Therefore, a fractional-order multistable locally active memristor is proposed for …
memristor. Therefore, a fractional-order multistable locally active memristor is proposed for …
[图书][B] Functional and impulsive differential equations of fractional order: qualitative analysis and applications
The book presents qualitative results for different classes of fractional equations, including
fractional functional differential equations, fractional impulsive differential equations, and …
fractional functional differential equations, fractional impulsive differential equations, and …
Undamped oscillations generated by Hopf bifurcations in fractional-order recurrent neural networks with Caputo derivative
In this paper, a fractional-order recurrent neural network is proposed and several topics
related to the dynamics of such a network are investigated, such as the stability, Hopf …
related to the dynamics of such a network are investigated, such as the stability, Hopf …
Fractional-order PD control at Hopf bifurcations in delayed fractional-order small-world networks
Bifurcation and control of fractional-order systems are still an outstanding problem. In this
paper, a novel delayed fractional-order model of small-world networks is introduced and …
paper, a novel delayed fractional-order model of small-world networks is introduced and …
Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model
This research investigates the impact of prey herd dread from the two types of predators
using a fractional-order-derivative model. The investigated model considers one type of prey …
using a fractional-order-derivative model. The investigated model considers one type of prey …
[HTML][HTML] The fractional-order SIS epidemic model with variable population size
HAA El-Saka - Journal of the Egyptian Mathematical Society, 2014 - Elsevier
In this work, we deal with the fractional-order SIS epidemic model with constant recruitment
rate, mass action incidence and variable population size. The stability of equilibrium points …
rate, mass action incidence and variable population size. The stability of equilibrium points …
Dynamic analysis of fractional-order predator–prey biological economic system with Holling type II functional response
HAA El-Saka, S Lee, B Jang - Nonlinear Dynamics, 2019 - Springer
A fractional-order predator–prey biological economic system with Holling type II functional
response is proposed. Local stability and Hopf bifurcation of predator–prey systems have …
response is proposed. Local stability and Hopf bifurcation of predator–prey systems have …
[PDF][PDF] Enhanced evolutionary approach for solving fractional difference recurrent neural network systems: A comprehensive review and state of the art in view of time …
HS Gafel, S Rashid - AIMS Math., 2023 - aimspress.com
The present research deals with a novel three-dimensional fractional difference neural
network model within undamped oscillations. Both the frequency and the amplitude of …
network model within undamped oscillations. Both the frequency and the amplitude of …