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Research Article | Open Access

On a generalization of fractional Langevin equation with boundary conditions

Zheng Kou, Saeed Kosari( )
Institute of Computing Science and Technology, Guangzhou university, Guangzhou, China
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Abstract

In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.

Keywords

nonlinear Langevin equationfractional orderexistence of solution
CLC number: 26A33, 34A08, 34A12

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 1333-1345
DOI: 10.3934/math.2022079

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Cite this article:
Kou Z, Kosari S. On a generalization of fractional Langevin equation with boundary conditions. AIMS Mathematics, 2022, 7(1): 1333-1345. https://doi.org/10.3934/math.2022079

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Received: 25 August 2021
Accepted: 14 October 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)