The Existence and Uniqueness of Solutions to The Riemann-Liouville Fractional Iterative System
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Ke Jin, Yi Cheng and Shanshan Gao
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.
Existence; Uniqueness; Fractional order; Iterative equation