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

istinad üçün kopyala

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)

Nəşrin Növü: Article / Article
Cild: 14 Say: 2
Nəşr tarixi: 2021
Doi nömrəsi: 10.29020/nybg.ejpam.v14i2.3978
jurnalın adı: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus
Səhifə sayı: pp.608-617
Adres: Bəli

Qısa məlumat

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.