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

• 作者: Jie Song Yufeng Sun Zheng Zeng
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: FRACTIONAL Order Differential EQUATIONS BOUNDARY Value Problem Caputo FRACTIONAL DERIVATIVE FRACTIONAL INTEGRAL Fixed Point
• 年，卷（期）: yysxyw_2017,（3）
• 页码范围: 312-323
• 页数: 12页
• 分类号: O1

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.