On fractional-order symmetric oscillator with offset-boosting control

This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with fractional Caputo operator. The properties considered model such as equilibria and its stability are also presented. existence results uniqueness solutions for suggested analyzed using tools from fixed point theory. is numerically graphically various orders. It observed that operator has significant impact on dynamics showing system limit-cycle attractor. Offset-boosting control phenomena in studied different orders parameters.