EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.14, no.2, pp.608-617, 2021 (ESCI)
In this paper the existence and uniqueness of solutions to the fractional differential equations with two-point and integral boundary conditions is investigated. The Green function is constructed, and the problem under consideration is reduced to the equivalent integral equation. Existence and uniqueness of a solution to this problem is analyzed using the Banach the contraction mapping principle and Krasnoselskiis fixed point theorem.