Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Abdellatif BOUTİARA; Naas ADJİMİ; Maamar BENBACHIR; Mohammed ABDO

doi:https://doi.org/10.31197/atnaa.927938

Makale detayları

Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Yazarlar:

Abdellatif BOUTİARA | Naas ADJİMİ | Maamar BENBACHIR | Mohammed ABDO

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2022 Vol.6 Issue 1, pp.14-27

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000447466

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.927938

Özet:

 

This paper concerned with study the existence and uniqueness of solutions for
a class of fractional differential equations with boundary conditions
involving the Riesz-Caputo type fractional derivatives. We apply the methods
of functional analysis such that the uniqueness result is established using
the Banach contraction principle, whereas existence results are obtained using
Schaefer's and Krasnoslkii's fixed theorems. Some examples are given to
illustrate our acquired results.

Makale detayları

Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Yazarlar: Abdellatif BOUTİARA | Naas ADJİMİ | Maamar BENBACHIR | Mohammed ABDO

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Advances in the Theory of Nonlinear Analysis and its Application 2022 Vol.6 Issue 1, pp.14-27

Belge Tipi: Makale

Yayın Tarihi: 3/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000447466

Sıklık: Üç Aylık

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.927938

Sayı

Yazarlar:

Abdellatif BOUTİARA | Naas ADJİMİ | Maamar BENBACHIR | Mohammed ABDO

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2022 Vol.6 Issue 1, pp.14-27

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000447466

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.927938