Open AccessThe Green's function for Caputo fractional boundary value problem with a convection term
Author(s) -
Youyu Wang,
AUTHOR_ID,
Xianfei Li,
Yue Huang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022272
Subject(s) - boundary value problem , mathematics , term (time) , function (biology) , fractional calculus , operator (biology) , green's function , mathematical analysis , differential equation , physics , chemistry , biochemistry , repressor , quantum mechanics , evolutionary biology , gene , transcription factor , biology
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.