@article{Alqahtani2025, 
author = {A. M. Alqahtani and Shivani Sharma and Arun Chaudhary and Aditya Sharma},
title = {Application of Caputo-Fabrizio derivative in circuit realization},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {2415-2443},
keywords = {fractional derivative, hyperchaotic system, numerical solutions, simulations, nonlinear dynamical systems, circuit realization},
url = {https://www.sciopen.com/article/10.3934/math.2025113},
doi = {10.3934/math.2025113},
abstract = {This work incorporates a hyperchaotic system with fractional order Caputo-Fabrizio derivative. A comprehensive proof of the existence followed by the uniqueness is detailed and the simulations are performed at distinct fractional orders. Our results are strengthened by bridging a gap between the theoretical problems and real-world applications. For this, we have implemented a 4D fractional order Caputo-Fabrizio hyperchaotic system to circuit equations. The chaotic behaviors obtained through circuit realization are compared with the phase portrait diagrams obtained by simulating the fractional order Caputo-Fabrizio hyperchaotic system. In this work, we establish a foundation for future advancements in circuit integration and the development of complex control systems. Subsequently, we can enhance our comprehension of fractional order hyperchaotic systems by incorporating with practical experiments.}
}