Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: existence and uniqueness Caputo derivative fractional differential equation fixed point theorem integral boundary value conditions
• 年，卷（期）: 2018,（1）
• 页码范围: 56-70
• 页数: 15页
• 分类号: O175.8
• 语种: 英文
• DOI: 10.4208/jpde.v31.n1.5

摘要

In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by applying the contraction mapping principle, Krasnoselskii's fixed point theorem and Leray-Schauder degree theory, which partly improves and extends the associated results of fractional differential equations. Four examples illustrating our main results are included.