The uniqueness of positive solution for a singular fractional differential system involving derivatives

By using the fixed point theorem of the mixed monotone operator, the uniqueness of positive solution for a singular fractional differential system involving derivatives is established. An example is then given to illuminate the application of the main results.

► Fractional modeling dynamics systems are studied.
► Existence and uniqueness of positive solutions are presented.
► The fractional differential systems have higher singularity.
► The mixed monotone operator is used.