On Coupled System of Langevin Fractional Problems with Different Orders of μ-Caputo Fractional Derivatives

被引：2

作者：

Almaghamsi, Lamya ^{[1
]}

Alruwaily, Ymnah ^{[2
]}

Karthikeyan, Kulandhaivel ^{[3
]}

El-hady, El-sayed ^{[2
,4
]}

机构：

[1] Univ Jeddah, Coll Sci, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia

[2] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka 72388, Saudi Arabia

[3] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India

[4] Suez Canal Univ, Fac Comp & Informat, Basic Sci Dept, Ismailia 41522, Egypt

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 04期

关键词：

Langevin problems; coupled system; integral boundary conditions; fixed-point theorems; existence; uniqueness; mu-Caputo fractional derivatives; EXISTENCE; EQUATIONS; INCLUSIONS; LIOUVILLE;

D O I：

10.3390/fractalfract7040337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study coupled nonlinear Langevin fractional problems with different orders of mu-Caputo fractional derivatives on arbitrary domains with nonlocal integral boundary conditions. In order to ensure the existence and uniqueness of the solutions to the problem at hand, the tools of the fixed-point theory are applied. An overview of the main results of this study is presented through examples.

引用

页数：14