Integrability of fractional order generalized systems with p:-qp:-q resonance

This paper is devoted to studying integrability for fractional order systems with p:-qp:-q resonance. We develop some methods to transform such systems into corresponding polynomial ones. As an application, we discuss the integrability of a class of 2,14-order system with 1:-21:-2 resonance and a class of 3,15-order system with 1:-31:-3 resonance.