| 摘要: |
| 讨论了带有Riemann-Liouville微分算子的分数阶微分方程初值问题，利用混合单调算子理论，获得了初值问题解的存在唯一性定理, 并举例说明主要结果. |
| 关键词: 分数阶初值问题 混合单调算子 上解与下解 拟解 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Existence and uniqueness of the solutions for the fractional initial value problem |
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KANG Shugui1, CHEN Huiqing1, YUE Yaqing2, GAO Ying1
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1.School of Mathematics and Computer Sciences, Shanxi Datong University;2.Department of Mathematics, Shanxi Normal University
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| Abstract: |
| In this paper, we discuss the initial value problem of fractional differential equations in-volving Riemann-Liouville differentialoperators. By means of the mixed monotoneoperator theory, we obtain the existence and uniquenessof the solutions to the initial value problem,and an exampleis givento illustrate the main result. |
| Key words: fractional initial value problem mixed monotone operator lower and upper solutions quasi-solution |
