Solvability of fractional differential system with parameters and singular nonlinear terms

In this article, we consider the parametric high-order fractional system with integral boundary value conditions involving derivatives of order $ p $-$ q $. With the aid of the fixed-point theorem, an exact interval from the existence to the solution of the system will be obtained, under the condition that the nonlinearities of the system may have singularities. Finally, we provide an instance to show the practicality of the primary outcomes.