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摘要: |
本文运用Banach不动点定理和上下解方法研究非线性Caputo-Hadamard(CH) 型分数阶微分方程边值问题解的存在性和唯一性,最后给出例子来说明主要结果. |
关键词: 分数阶微分方程 Caputo-Hadamard导数 Banach不动点定理 上下解 |
DOI: |
分类号:0175.8 |
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目) |
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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR CAPUTO-HADAMARD TYPE FRACTIONAL DIFFERENTIAL EQUATIONS |
shilinfei
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Abstract: |
In this paper, we study the existence and uniqueness results of solutions for boundary value problems of Caputo-Hadamard (CH) fractional differential equations by using Banach fixed point theorem and the method of upper and lower solutions. Finally, examples are given to illustrate the main results. |
Key words: fractional differential equations Caputo-Hadamard derivatives Banach fixed point theorem upper and lower solutions. |