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

Youyu Wang; Xianfei Li; Yue Huang; Youyu Wang; Xianfei Li; Yue Huang

doi:10.3934/math.2022272

AIMS Mathematics

2022, Volume 7, Issue 4: 4887-4897. doi: 10.3934/math.2022272

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Research article

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

Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, China

Received: 25 October 2021 Revised: 09 December 2021 Accepted: 14 December 2021 Published: 28 December 2021
MSC : 34A08, 34B27, 35B50

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.
- Caputo derivative,
- Mittag-Leffler function,
- Green's function,
- convection term
Citation: Youyu Wang, Xianfei Li, Yue Huang. The Green's function for Caputo fractional boundary value problem with a convection term[J]. AIMS Mathematics, 2022, 7(4): 4887-4897. doi: 10.3934/math.2022272

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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.

References

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