TITLE:
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
AUTHORS:
Yufeng Sun, Zheng Zeng, Jie Song
KEYWORDS:
Fractional Order Differential Equations, Boundary Value Problem, Caputo Fractional Derivative, Fractional Integral, Fixed Point
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.3,
March
24,
2017
ABSTRACT: This paper studies the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach’s contraction principle and the Schauder’s fixed point theorem. In addition, an example is given to demonstrate the application of our main results.