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

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

doi:10.29020/nybg.ejpam.v14i2.3978

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)

Publication Type: Article / Article
Volume: 14 Issue: 2
Publication Date: 2021
Doi Number: 10.29020/nybg.ejpam.v14i2.3978
Journal Name: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
Page Numbers: pp.608-617
Azerbaijan State University of Economics (UNEC) Affiliated: Yes

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.