Stability, numerical simulations, and applications of Helmholtz-Duffing fractional differential equations

Autor: M. Sivashankar, S. Sabarinathan, Kottakkaran Sooppy Nisar, C. Ravichandran, B.V. Senthil Kumar
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Chaos, Solitons & Fractals: X, Vol 12, Iss , Pp 100106- (2024)
Druh dokumentu: article
ISSN: 2590-0544
DOI: 10.1016/j.csfx.2024.100106
Popis: The Helmholtz-Duffing equation with the Caputo fractional order derivative will be introduced in this article. We employ the fixed point theory to establish the existence and uniqueness results and prove the Hyers-Ulam stability. Drone applications for controlling the synthesis of external forces in torque, angular velocity, and projection served as a source of motivation. In the end, we developed numerical simulations to support our theoretical findings.
Databáze: Directory of Open Access Journals