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

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

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...

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Bibliographic Details
Main Authors: M. Sivashankar, S. Sabarinathan, Kottakkaran Sooppy Nisar, C. Ravichandran, B.V. Senthil Kumar
Format: Article
Language:English
Published: Elsevier 2024-06-01
Series:Chaos, Solitons & Fractals: X
Subjects:
Hyers-Ulam stability
Caputo fractional order derivative
Helmholtz-Duffing equation
Existence and uniqueness theorem
Online Access:http://www.sciencedirect.com/science/article/pii/S2590054424000034

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http://www.sciencedirect.com/science/article/pii/S2590054424000034

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