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

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...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 4; pp. 4887 - 4897
Main Authors Wang, Youyu, Li, Xianfei, Huang, Yue
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
caputo derivative
convection term
green's function
mittag-leffler function
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022272