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一类分数阶微分方程奇异多点边值问题解的存在性和唯一性
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]上海理工大学理学院,上海200093
  • 相关基金：国家自然科学基金（11171220）;上海市教育委员会科研创新基金重点项目（10ZZ93）
作者： 刘帅[1], 贾梅[1], 秦小娜[1]
关键词： 多点边值问题, 不动点定理, 分数阶微分方程, 存在性和唯一性, 奇异性, multi-point boundary conditions, fixed point theorem, fractional differentialequations, existence and uniqueness, singularity
中文摘要：

研究一类非线性分数阶微分方程奇异多点边值问题，利用Schauder不动点定理以及压缩映像原理，得到了边值问题解的存在性及唯一性的充分条件．

英文摘要：

The paper investigates existence and uniqueness of solutions for a type of sin- gular multi-point boundary value problems with fractional order. We obtain the sufficient conditions of the existence and uniqueness of solutions by Schauder fixed point theorem and the Banach contraction principle.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:22973