In this paper, some attempts have been devoted to investigating the dynamic features of discrete fractional calculus (DFC). To date, discrete fractional systems with complex …
Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and interdisciplinary science. Within …
ZY He, A Abbes, H Jahanshahi, ND Alotaibi, Y Wang - Mathematics, 2022 - mdpi.com
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 …
In this paper, the hyperchaos analysis, optimal control, and synchronization of a nonautonomous cardiac conduction system are investigated. We mainly analyze, control …
U Erkan, A Toktas, Q Lai - Expert Systems with Applications, 2023 - Elsevier
Chaotic systems are the most essential tools for wide range of applications such as communication, watermarking, data compression and multimedia encryption. However, the …
Delay differential equations (DDEs) or functional differential equations arise in models representing biological phenomena when the time-delays occurring in these phenomena …
GC Wu, ZG Deng, D Baleanu, DQ Zeng - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
New variable-order fractional chaotic systems are proposed in this paper. A concept of short memory is introduced where the initial point in the Caputo derivative is varied. The fractional …
Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial …
L Chen, H Yin, T Huang, L Yuan, S Zheng, L Yin - Neural Networks, 2020 - Elsevier
In this paper, a three-dimensional fractional-order (FO) discrete Hopfield neural network (FODHNN) in the left Caputo discrete delta's sense is proposed, the dynamic behavior and …