Abstract:
The fixed point theorem of Guo–Krasnosel'skii is applied in this paper to find the intervals of the parameters $\lambda_1,\lambda_2,\ldots,\lambda_m$ that have a positive solution to an iterative system of $n^\text{th}$ order fractional differential equation with three-point boundary conditions with a non-homogeneous term.
Keywords:fractional order derivative, iterative system, non-homogeneous three-point, boundary value problem, kernel, eigenvalues, cone, positive solution.