We discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations , with boundary conditions or satisfying the initial conditions , where denotes Caputo fractional derivative, is constant, and . Schauder's fixed-point theorem was used to establish the existence of the solution. Banach contraction principle was used to show the uniqueness of the solution under certain conditions on .
"Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations." Abstr. Appl. Anal. 2012 (SI01) 1 - 14, 2012. https://doi.org/10.1155/2012/632681