Orbital dynamics satisfying the 4^(th)-order stationary extended Fisher-Kolmogorov equation

In this study,we discuss the central force problem by using the nonlocal-in-time kinetic energy approach.At low length scales,the system is dominated by the generalized 4^(th)-order extended Fisher-Kolmogorov stationary equation and by the 4^(th)-order stationary Swift-Hohenberg differential equation under explicit conditions.The energy is a conserved quantity along orbits of the extended Fisher-Kolmogorov stationary equation.The system is quantized,the system is stable,and the ground energy problem is solved.