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

ABSTRACT 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.