Some properties and stability of Helmholtz model involved with nonlinear fractional difference equations and its relevance with quadcopter

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.

Automated summary

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.