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Banach空间中一类无穷时滞分数阶微分方程
  • ISSN号：1007-824X
  • 期刊名称：《扬州大学学报：自然科学版》
  • 时间：0
  • 分类：O175.15[理学—数学;理学—基础数学] O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]扬州大学数学科学学院,江苏扬州225002, [2]南通职业大学基础部,江苏南通226007, [3]焦作师范高等专科学校数学系,河南焦作454001
  • 相关基金：国家自然科学基金资助项目（10971182）;江苏省自然科学基金资助项目（BK2009179,BK2010309）;江苏省高校自然科学基金资助项目（09KJB110010）
作者： 徐小平[1,2], 毋绪道[3], 王杰瑛[1], 董琪翔[1]
关键词： 分数阶微积分, 微分方程, 无穷时滞, MILD解, fractional order calculus, differential equations, infinite delay, mild solutions
中文摘要：

利用Hausdorff非紧性测度理论和Darbo不动点定理，在较弱的条件下得到Banach空间中一类非线性无穷时滞分数阶微分方程解的存在性结果，改进和推广了已有的相关结果．

英文摘要：

This paper is concerned with a class of nonlinear fractional differential equanons with infinite delay in Banach spaces. Using the theory of Hausdorff measure of noncompactness and Darbos fixed point theorem, the existence of mild solutions is obtained, which improves and extends some previous results.

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Banach空间上非线性算子半群与非线性微分包含及其应用
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期刊信息
  • 《扬州大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:江苏省教育厅
  • 主办单位:扬州大学
  • 主编：郭荣
  • 地址：江苏省扬州市大学南路88号
  • 邮编：225009
  • 邮箱：xuebaozr01@mail.yzu.edu.cn
  • 电话：0514-7971607
  • 国际标准刊号：ISSN：1007-824X
  • 国内统一刊号：ISSN：32-1472/N
  • 邮发代号:28-48
  • 获奖情况:
  • 全国高校自然科学学报一等奖,第三届江苏省双十佳期刊,江苏省高校自然科学学报一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国生物科学数据库,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:3109