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奇异分数阶微分方程边值问题正解的存在性
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]潍坊学院数学与信息科学学院,山东潍坊261061
  • 相关基金：国家自然科学基金资助资助项目（10871116）;山东自然科学基金资助项目（ZR2010AM005）;潍坊学院青年项目（2012214）;山东省高等学校青年骨干教师国内访问学者项目
作者： 孙艳梅[1]
关键词： Riemann-Liouville分数阶导数, 正解, 边值问题, Riemann-Liouville fractional derivative, positive solution, boundary value problem
中文摘要：

研究了Riemann-Liouville分数阶微分方程边值问题存在惟一解的充分必要条件。得到了边值问题正解的存在性和惟一性，且构造了迭代序列。

英文摘要：

The necessary and sufficient conditions for existence of unique solution for Riemann-Liouville fractional dif-ferential equations are studied.The results can not only involve the existence and uniqueness of positive solutions for boundary value problems, but also be applied to construct an iterative scheme.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,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）,英国英国皇家化学学会文摘
  • 被引量:6243