The periodic solutions of the compound singular fractional differential system with delay (Q606242)

Summary: The paper gives sufficient conditions on the existence of a periodic solution for a class of compound singular fractional differential systems with delay, involving the Nishimoto fractional derivative. Furthermore, for particular functions, necessary conditions on the existence of periodic solution are also derived. Especially, for a two-dimensional compound singular fractional differential equation with delay, criteria for the existence of a periodic solution are obtained. Finally, two examples are presented to verify the validity of the criteria.