Open AccessExistence and Uniqueness of Solutions for the Nonlinear Fractional Differential Equations with Two-point and Integral Boundary Conditions
Author(s) -
Yagub A. Sharifov,
Sevinc Zamanova,
R.A. Sardarova
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i2.3978
Subject(s) - mathematics , uniqueness , mathematical analysis , contraction principle , fixed point theorem , contraction mapping , integral equation , boundary value problem , nonlinear system , picard–lindelöf theorem , banach fixed point theorem , physics , quantum mechanics
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 Krasnoselskii’s fixed point theorem.