A new wave of curiosity has recently focused on fractional calculus, a branch of mathematics concerned with integrals and derivatives of non-integer order. Control theory, signal processing, engineering, and physics are just a few of the areas that have benefited from its use. New control algorithms and methods have been developed thanks to the application of fractional calculus in control theory. These methods and algorithms offer advantages when dealing with complicated and non-linear systems. By incorporating a fractional order integrator and differentiator into the classical feedback adaptive PID controller, this study demonstrates how to optimize a fractional adaptive PID controller using a genetic algorithm to enhance aircraft performance in four key areas: rise time, setting time, overshoot, and mean absolute error. Research comparing the classical adaptive PID controller to the suggested genetic algorithm-optimized fractional-order adaptive PID controller has been conducted in order to substantiate the claims. In order to confirm the optimal controller, numerical simulations and analyses are provided. When comparing settling time, rising time, overshoot, and mean absolute error, the fractional order adaptive PID performs the best. To enhance the performance and noise rejection of various fractional and integer systems, this approach can also be applied generally.