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Research Article | Open Access

The Green's function for Caputo fractional boundary value problem with a convection term

Youyu Wang( ), Xianfei Li, Yue Huang
Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, China
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Abstract

By using the operator theory, we establish the Green's function for Caputo fractional differential equation under Sturm-Liouville boundary conditions. The results are new, the method used in this paper will provide some new ideas for the study of this kind of problems and easy to be generalized to solving other problems.

Keywords

Caputo derivativeMittag-Leffler functionGreen's functionconvection term
CLC number: 34A08, 34B27, 35B50

References

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 4887-4897
DOI: 10.3934/math.2022272

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Cite this article:
Wang Y, Li X, Huang Y. The Green's function for Caputo fractional boundary value problem with a convection term. AIMS Mathematics, 2022, 7(4): 4887-4897. https://doi.org/10.3934/math.2022272

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Received: 25 October 2021
Revised: 09 December 2021
Accepted: 14 December 2021
Published: 15 April 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)