On Coupled System of Langevin Fractional Problems with Different Orders of <i>μ</i>-Caputo Fractional Derivatives

On Coupled System of Langevin Fractional Problems with Different Orders of <i>μ</i>-Caputo Fractional Derivatives

In this paper, we study coupled nonlinear Langevin fractional problems with different orders of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula&...

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Bibliographic Details
Main Authors: Lamya Almaghamsi, Ymnah Alruwaily, Kulandhaivel Karthikeyan, El-sayed El-hady
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Fractal and Fractional
Subjects:
Langevin problems
coupled system
integral boundary conditions
fixed-point theorems
existence
uniqueness
Online Access:https://www.mdpi.com/2504-3110/7/4/337
Description
Summary:In this paper, we study coupled nonlinear Langevin fractional problems with different orders of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula>-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.
ISSN:2504-3110

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