| 摘要: |
| 本文研究了一类预解算子控制的具有无穷时滞的分数阶泛函微分方程.利用解析预解算子理论和不动点定理,得到了具有无穷时滞分数阶微分方程适度解的存在性,推广和改进了一些已知的结果. |
| 关键词: 预解算子 分数阶微分方程 无穷时滞 适度解 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:国家自然科学基金资助项目(11001034;11271316);山西财经大学青年基金(Z06045). |
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| EXISTENCE RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY VIA RESOLVENT OPERATORS |
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CHEN Li-zhen1, FAN Zhen-bin2, LI Gang3
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1.Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, China;2.Department of Mathematics, Changshu Institute of Technology, Suzhou 215500, China;3.Department of Mathematics, Yangzhou University, Yangzhou 225002, China
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| Abstract: |
| This paper is concerned with a class of fractional diffierential equations governed by a linear closed operator which generates a resolvent. The existence of mild solutions to such equations is obtained by using the theory of analytic resolvent and fixed point theorem which improves and generalizes some previous results. |
| Key words: resolvent operator fractional diffierential equation infinite delay mild solution |
