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

Fractal and Fractional

article

Lamya Almaghamsi¹  Ymnah Alruwaily²  Kulandhaivel Karthikeyan³  El-sayed El-hady² 

[1] Department of Mathematics, College of Science, University of Jeddah;Mathematics Department, College of Science, Jouf University;Department of Mathematics, KPR Institute of Engineering and Technology;Basic Science Department, Faculty of Computers and Informatics, Suez Canal University

关键词: Langevin problems;    coupled system;    integral boundary conditions;    fixed-point theorems;    existence;    uniqueness;    μ-Caputo fractional derivatives34A08;    34G20;    26A33;   

DOI  :  10.3390/fractalfract7040337

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

In this paper, we study coupled nonlinear Langevin fractional problems with different orders of μ-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.

【 授权许可】

CC BY