  To investigate the impact of fractional parameter on the thermodynamic
behaviors of quantum systems, we incorporate fractional quantum mechanics into
the cycle of a quantum Stirling heat engine and examine the influence of
fractional parameter on the regeneration and efficiency. We propose a novel
approach to control the thermodynamic cycle that leverages the fractional
parameter structure and evaluates its effectiveness. Our findings reveal that
by tuning the fractional parameter, the region of the cycle with the perfect
regeneration and the Carnot efficiency can be expanded.
