Journal
CHAOS SOLITONS & FRACTALS
Volume 168, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2023.113161
Keywords
Hyers-Ulam stability; Fractional duffing equation; Differential equation; Quadcopter and numerical simulations
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This study focuses on developing mathematical models related to the Helmholtz equation, which is considered as a second-order oscillator involving nonlinear Caputo fractional difference equations. The study also aims to determine the approximate solution of the model using the Ulam stability concept. Properties of the mathematical model in this study are also presented, and numerical simulations are provided to demonstrate the stability results.
This study is devoted to developing mathematical models associated with the Helmholtz equation as a second-order oscillator involved with nonlinear Caputo fractional difference equations. This study also focuses on determining the approximate solution of this model via the Ulam stability conception. Some properties of the mathematical model dealt with in this study are also presented. Numerical simulations are presented to justify the existence of stability results.
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