Fractional Langevin equations with multi-point and non-local integral boundary conditions

Fractional Langevin equations with multi-point and non-local integral boundary conditions

In this paper, we investigate a non-linear Langevin equation with periodic, multi-point and non-local fractional integral boundary conditions. The contraction mapping theorem is employed to determine sufficient conditions for the uniqueness of the solution. Also, different results in the existence o...

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Main Authors: Ahmed Salem, Mohammad Alnegga
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Cogent Mathematics & Statistics
Subjects:
fractional langevin equations
existence and uniqueness
multi-point boundary conditions
Online Access:http://dx.doi.org/10.1080/25742558.2020.1758361
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spelling doaj-3ac62226ec9d48cabab172494e1709c32021-03-18T16:25:27ZengTaylor & Francis GroupCogent Mathematics & Statistics2574-25582020-01-017110.1080/25742558.2020.17583611758361Fractional Langevin equations with multi-point and non-local integral boundary conditionsAhmed Salem0Mohammad Alnegga1King Abdulaziz UniversityQassim UniversityIn this paper, we investigate a non-linear Langevin equation with periodic, multi-point and non-local fractional integral boundary conditions. The contraction mapping theorem is employed to determine sufficient conditions for the uniqueness of the solution. Also, different results in the existence of solution are demonstrated by using Krasnoselskii and Leray-Schauder theorems. Finally, some examples are provided as applications of the theorems in order to support the main outcomes of this paper.http://dx.doi.org/10.1080/25742558.2020.1758361fractional langevin equationsexistence and uniquenessmulti-point boundary conditions
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed Salem
Mohammad Alnegga
spellingShingle Ahmed Salem
Mohammad Alnegga
Fractional Langevin equations with multi-point and non-local integral boundary conditions
Cogent Mathematics & Statistics
fractional langevin equations
existence and uniqueness
multi-point boundary conditions
author_facet Ahmed Salem
Mohammad Alnegga
author_sort Ahmed Salem
title Fractional Langevin equations with multi-point and non-local integral boundary conditions
title_short Fractional Langevin equations with multi-point and non-local integral boundary conditions
title_full Fractional Langevin equations with multi-point and non-local integral boundary conditions
title_fullStr Fractional Langevin equations with multi-point and non-local integral boundary conditions
title_full_unstemmed Fractional Langevin equations with multi-point and non-local integral boundary conditions
title_sort fractional langevin equations with multi-point and non-local integral boundary conditions
publisher Taylor & Francis Group
series Cogent Mathematics & Statistics
issn 2574-2558
publishDate 2020-01-01
description In this paper, we investigate a non-linear Langevin equation with periodic, multi-point and non-local fractional integral boundary conditions. The contraction mapping theorem is employed to determine sufficient conditions for the uniqueness of the solution. Also, different results in the existence of solution are demonstrated by using Krasnoselskii and Leray-Schauder theorems. Finally, some examples are provided as applications of the theorems in order to support the main outcomes of this paper.
topic fractional langevin equations
existence and uniqueness
multi-point boundary conditions
url http://dx.doi.org/10.1080/25742558.2020.1758361
work_keys_str_mv AT ahmedsalem fractionallangevinequationswithmultipointandnonlocalintegralboundaryconditions
AT mohammadalnegga fractionallangevinequationswithmultipointandnonlocalintegralboundaryconditions
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