Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation  

作　　者：Yufeng Sun Zheng Zeng Jie Song 

机构地区：[1]School of Mathematics and Statistics, Shaoguan University, Shaoguan, China [2]Office of Party Committee, Foshan University, Foshan, China

出　　处：《Applied Mathematics》2017年第3期312-323,共12页应用数学（英文）

摘　　要：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.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.

关 键 词：FRACTIONAL Order Differential EQUATIONS BOUNDARY Value Problem Caputo FRACTIONAL DERIVATIVE FRACTIONAL INTEGRAL Fixed Point 

分 类 号：O1[理学—数学]