期刊文献+

一类非线性分数阶微分方程的奇异边值问题

A Kind of Singular Boundary Value Problem for Nonlinear Fractional Differential Equation
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摘要 利用上下解方法及单调迭代技术讨论了一类非线性分数阶微分方程的奇异边值问题,给出了其解的存在及最小最大解的存在定理. By using the lower and upper solution method and fixed point theorems on cone,the author studies a kind of singular boundary value problem for nonlinear fractional differential equation and the existence of maximal and minimal solutions are obtained.
出处 《数学的实践与认识》 CSCD 北大核心 2014年第10期276-281,共6页 Mathematics in Practice and Theory
基金 山西省高等学校科技研究开发项目(200811053 20111021) 山西省高等学校科技创新项目(2013156) 青海省自然科学基金项目(2012-Z-910)
关键词 Riemann-Liouville积分 Riemann-Liouville导数 奇异边值问题 riemann-liouville integral riemann-liouville derivative singular boundary value problem
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参考文献7

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  • 3Lakshmikantham V, Vatsala A S. Basic theory of fractional differential equations[J]. Nonlinear Analysis, 2008, 69: 2677-2682.
  • 4Xiaojie Xu, Daqing Jiang, Chengjun Yuan.Multiple positive solutions for the boundary value prob- lem of a nonlinear fractional differential equation[J]. Nonlinear Analysis, 2009, 71: 4676-4688.
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  • 7Yongkui Chang, Juan J. Nieto.Some new existence results for fractional differential inclusions with boundary conditions. Mathematical and Computer Modeling[J]. 2009, 49: 605-609.

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