Author(s)

Yufeng Sun¹, Zheng Zeng², Jie Song^1*

¹School of Mathematics and Statistics, Shaoguan University, Shaoguan, China.
²Office of Party Committee, Foshan University, Foshan, China.

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.

Fractional Order Differential Equations, Boundary Value Problem, Caputo Fractional Derivative, Fractional Integral, Fixed Point

Sun, Y. , Zeng, Z. and Song, J. (2017) Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation. Applied Mathematics, 8, 312-323. doi: 10.4236/am.2017.83026.