Abstract
In this paper, we are dealing with an analytical study of a singular fractional order nonlinear differential equation with fractional integral and differential boundary conditions and phi(p)-operator, for existence and stability results. Our problem is based on two types of fractional order derivatives, that is, Caputo factional derivative of order sigma and Riemann-Liouville derivative of order beta, where m - 1 < sigma, beta <= m, and m is an element of{3, 4, 5, . . .}. The suggested problem will be converted into an equivalent integral form by the help of Green function. After the proofs for these properties, some classical fixed point theorems are employed for the existence of positive solution (EPS). For application of the results, an expressive example is included.