| 预解算子控制的无穷时滞分数阶微分方程解的存在性 |
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| 引用本文： | 陈丽珍,凡震彬,李刚.预解算子控制的无穷时滞分数阶微分方程解的存在性[J].数学杂志,2016,36(6):1215-1221. |
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| 作者姓名： | 陈丽珍 凡震彬 李刚 |
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| 作者单位： | 山西财经大学应用数学学院, 山西 太原 030006,常熟理工学院数学与统计学院, 江苏 苏州 215500,扬州大学数学科学学院, 江苏 扬州 225002 |
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| 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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| 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.
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| 关 键 词： | 预解算子 分数阶微分方程 无穷时滞 适度解 |
| 收稿时间： | 2014/4/22 0:00:00 |
| 修稿时间： | 2015/5/6 0:00:00 |
EXISTENCE RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY VIA RESOLVENT OPERATORS |
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| CHEN Li-zhen,FAN Zhen-bin and LI Gang.EXISTENCE RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY VIA RESOLVENT OPERATORS[J].Journal of Mathematics,2016,36(6):1215-1221. |
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| Authors: | CHEN Li-zhen FAN Zhen-bin and LI Gang |
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| Institution: | Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, China,Department of Mathematics, Changshu Institute of Technology, Suzhou 215500, China and 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. |
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| Keywords: | resolvent operator fractional diffierential equation infinite delay mild solution |
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