Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Bouteraa Noureddine; Slimane BENAİCHA; Habib DJOURDEM

doi:https://doi.org/10.32323/ujma.396363

Makale detayları

Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Yazarlar:

Bouteraa Noureddine | Slimane BENAİCHA | Habib DJOURDEM

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 1, pp.39-45

Belge Tipi:

Makale

Yayın Tarihi:

3/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000670254

Sıklık:

Üç Aylık

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.396363

Özet:

 

In this paper, we study the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. To establish the existence results for the given problems, we use the properties of the Green’s function and the monotone iteration technique, one shows the existence of positive solutions and constructs two successively iterative sequences to approximate the solutions. The results are illustrated with an example.

Makale detayları

Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Yazarlar: Bouteraa Noureddine | Slimane BENAİCHA | Habib DJOURDEM

Yayıncı: Emrah Evren KARA

Ana Başlıklar: Matematik

Dergi: Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 1, pp.39-45

Belge Tipi: Makale

Yayın Tarihi: 3/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000670254

Sıklık: Üç Aylık

pISSN: 2619-9653

DOI: https://doi.org/10.32323/ujma.396363

Sayı

Yazarlar:

Bouteraa Noureddine | Slimane BENAİCHA | Habib DJOURDEM

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 1, pp.39-45

Belge Tipi:

Makale

Yayın Tarihi:

3/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000670254

Sıklık:

Üç Aylık

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.396363