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

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 derivative
• mittag-leffler function
• green's function
• convection term