Existence and uniqueness of solutions for the nonlinear fractional differential equations with two-point and integral boundary conditions


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Sharifov Y. A., Zamanova S. A., Sardarova R. A.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.14, no.2, pp.608-617, 2021 (ESCI) identifier identifier

Abstract

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.