Results on Ulam-Hyers stability of nonlinear Chen system with fractional-order derivative

This article focuses on the stability analysis of fractional-order derivative for nonlinear Chen chaotic systems using Caputo-Fabrizio fractional derivative. The primary objective is to examine the criteria for existence and uniqueness using the fixed-point technique. The study explores Ulam stability results and discusses other significant findings for the proposed system. Numerical schemes are employed using Lagrange polynomial interpolation with Caputo-Fabrizio fractional derivative. Simulated graphical representations are generated for different fractional-order values, and the simulation results validate the efficacy and practical applicability of the theoretical findings.