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非稠定分数次微分方程在非局部条件下解的存在性
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.6[理学—数学;理学—基础数学] O179.91[理学—数学;理学—基础数学]
  • 作者机构：[1]华中科技大学数学与统计学院,湖北武汉430074, [2]宿州学院数学与统计学院,安徽宿州234000
  • 相关基金：Supported by the National Natural Science Foundation of China （ 11171122）, and the Anhui Province College Excellent Young Talents Fund Project （2010SQRL195）
作者： 张祖峰[1,2], 刘斌[1]
关键词： 存在唯一性, 分式微分方程, 非稠定, 积分半群, 积分解, Existence and uniqueness, Fractional differential equations, Nondensedomain, Integrated semigroup , Integral solution
中文摘要：

本文利用积分半群理论，Krasnoselskii不动点定理与压缩映象原理研究了非稠定分数次发展方程在非局部条件下积分解的存在性与唯一性．

英文摘要：

This paper deals with the existence and uniqueness of integral solution for nondensely defined fractional evolution differential equations with nonlocal conditions. （）ur approach is based on integrated semigroup theory, the Krasnoselskii＇s fixed point theorem and the Banach contraction mapping principle.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,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）,中国北大核心期刊（2000版）
  • 被引量:4139