Author(s)

Ke Jin, Yi Cheng and Shanshan Gao

Corresponding Author

Yi Cheng

Abstract

This paper is devoted to study the iterative problem of Riemann-Liouville fractional derivative, give the Green’s function of the boundary value problem, and introduce the Gronwall inequality. We consider an initial value problem for a Riemann-Liouville fractional derivative equation. The appliance utilized in this work, is the fixed point theorem of Leray-Schauder and the Gronwall inequality.

Keywords

Existence; Uniqueness; Fractional order; Iterative equation