The linear and non-linear Klein-Gordon equations are considered. fractional complex transform is used to convert the on a continuous space/time fractals ones Cantor sets, resultant solved by local reduced differential method. Three examples given show effectiveness of technology.

ABSTRACT A test particle in a non-coplanar orbit about member of binary system can undergo Kozai–Lidov oscillations which tilt and eccentricity are exchanged. An initially circular highly inclined reach high eccentricity. We consider the non-linear secular evolution equations previously obtained quadrupole approximation. For important case that initial is zero, we derive an analytic solution fo...