Existence of positive solution to a fractional singular system with four-point coupled boundary conditions of the type

is established, where the fractional derivative is in the sense of Caputo and  The nonlinearities  are continuous and singular at    while the parameters    x, hsatisfy    The peculiarity of this system is that the nonlinear terms are singular, compared with the available results in literature. The proof of our main result is based on the Guo-Krasnoselskii fixed-point theorem. An example is included to show the applicability of our result.

Caputo fractional derivative, positive solutions, coupled singular system, coupled four-point boundary conditions, fixed-point theorem.