Abstract:
In this paper, using the Krasnoselsky fixed-point theorem, we establish sufficient conditions for the existence of a positive solution to the boundary-value problem for one nonlinear fractional functional differential equation. To prove the uniqueness of a positive solution, we use the Banach fixed-point theorem. The results presented continue the author's research on this topic.
Keywords:fractional functional differential equation, positive solution, boundary-value problem, Green's function