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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Taylor & Francis Group
2020-01-01
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Series: | Cogent Mathematics & Statistics |
Subjects: | |
Online Access: | http://dx.doi.org/10.1080/25742558.2020.1758361 |
Summary: | 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. |
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ISSN: | 2574-2558 |