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Fractional-order discrete-time SIR epidemic model with vaccination: Chaos and complexity
This research presents a new fractional-order discrete-time susceptible-infected-recovered
(SIR) epidemic model with vaccination. The dynamical behavior of the suggested model is …
(SIR) epidemic model with vaccination. The dynamical behavior of the suggested model is …
On the synchronization and stabilization of fractional-order chaotic systems: Recent advances and future perspectives
Chaos is one of the most significant findings in physics and engineering. Fractional-order
chaotic systems are nonlinear systems with special features which, some of them include …
chaotic systems are nonlinear systems with special features which, some of them include …
Fractional order chaotic systems: history, achievements, applications, and future challenges
Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …
fractional order differential equations, this review paper focuses on dynamical fractional …
[HTML][HTML] Chaos in the discrete memristor-based system with fractional-order difference
The mathematical modeling of memristor in discrete-time domain is an attractive new issue,
but there are still some problems to be explored. This paper studies an interesting second …
but there are still some problems to be explored. This paper studies an interesting second …
Discrete fracmemristor-based chaotic map by Grunwald–Letnikov difference and its circuit implementation
The topic of discrete memristor has attracted more and more attention in recent years, but
there is not enough discussion about discrete memristor under the fractional-order …
there is not enough discussion about discrete memristor under the fractional-order …
The fractional-order discrete COVID-19 pandemic model: stability and chaos
This paper presents and investigates a new fractional discrete COVID-19 model which
involves three variables: the new daily cases, additional severe cases and deaths. Here, we …
involves three variables: the new daily cases, additional severe cases and deaths. Here, we …
[HTML][HTML] Modeling of discrete fracmemristor and its application
Researches on the fracmemristor have aroused increasing interest in the last several years,
but there are no reports on design of the discrete fracmemristor. Based on the fractional …
but there are no reports on design of the discrete fracmemristor. Based on the fractional …
Incommensurate fractional discrete neural network: chaos and complexity
In this research, we offer a novel discrete-time fractional Hopfield neural network (DTHNN)
with incommensurate order. Analytical and numerical analysis by employing maximum …
with incommensurate order. Analytical and numerical analysis by employing maximum …
Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative
In this paper, novel systems of fractional differential equations involving a new generalized
Caputo fractional derivative were proposed. The complex dynamic behavior of these …
Caputo fractional derivative were proposed. The complex dynamic behavior of these …
Chaos and multiple attractors in a fractal–fractional Shinriki's oscillator model
In this paper, we obtain novel chaotic behaviors using differential and integral operators with
power-law, exponential-decay and Mittag-Leffler law for the Shinriki's oscillator model. We …
power-law, exponential-decay and Mittag-Leffler law for the Shinriki's oscillator model. We …