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非线性项变号的分数阶微分方程边值问题正解的存在性
  • ISSN号：1007-6735
  • 期刊名称：《上海理工大学学报》
  • 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：国家自然科学基金资助项目（11171220）;上海市教委科研创新重点资助项目（10ZZ93）
作者： 王淑[1], 贾梅[1], 祁卫杰[1]
关键词： 分数阶微分方程, 锥拉伸锥压缩不动点定理, 正解, 边值问题, fractional differential equation, expansion and compression fixed pointtheorem in cone ~ the positive solution ~ b~ndary value ~blem
中文摘要：

研究了一类分数阶微分方程边值问题正解的存在性。在允许非线性项变号的情况下，利用锥拉伸锥压缩不动点定理，得到了分数阶微分方程边值问题正解的存在性定理，所得结论突显了参数在不同范围内对正解存在性的影响．

英文摘要：

The existence of positive solutions of boundary value problems for fractional differential equations with sign changing nonlinearities was investigated. By using expansion and compression fixed point theorem in cone, the theorem of existence of positive solutions of boundary value problems for a class of fractional differential equations was obtained. The conclusions highIight the influences of the parameters in different ranges on the existence of vositive solutions.

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期刊信息
  • 《上海理工大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:上海市教育委员会
  • 主办单位:上海理工大学
  • 主编：庄松林
  • 地址：上海市军工路516号489信箱
  • 邮编：200093
  • 邮箱：xbzrb@USST.edu.cn
  • 电话：021-55277251
  • 国际标准刊号：ISSN：1007-6735
  • 国内统一刊号：ISSN：31-1739/T
  • 邮发代号:4-401
  • 获奖情况:
  • 上海市高等学校优秀自然科学学报一等奖,1999年获全国优秀高等学校自然科学学报及教育部优...,1995年获机械工业部优秀科技期刊三等奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,荷兰文摘与引文数据库,美国剑桥科学文摘,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）
  • 被引量:5359