期刊文献+

一类分数阶微分方程三点边值问题正解的存在性与不存在性 被引量:2

Existence and Nonexistence of Positive Solutions of Three-Point Boundary Value Problems for a Class of Fractional Differential Equations
下载PDF
导出
摘要 运用锥拉伸与锥压缩不动点定理,研究一类含两个扰动参数的Riemann-Liouville型分数阶微分方程三点边值问题,建立并证明该问题正解的存在性定理与不存在性定理.所得结果表明,参数对正解的存在性有影响. Using the fixed point theorem of cone expansion and cone compression, we investigated three-point boundary value problem for a class of Riemann-Liouville fractional differential equation with two disturbance parameters. We established and proved the existence theorem and nonexistence theorem of positive solutions of the problem. The results show the parameters affect the existence of positive solutions.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2018年第1期6-14,共9页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11171220) 沪江基金(批准号:B14005)
关键词 Riemann—Liouville型分数阶导数 扰动参数 L1-Carath60dory条件 正解 不动点定理 Riemann-Liouville fractional derivative disturbance parameter L1-Caratheodory condition positive solution fixed point theorem
  • 相关文献

参考文献4

二级参考文献15

  • 1PodlubnyⅠ.Fractional differential equations[M].San ??Diego:Acad Press,1999. 被引量:1
  • 2Ahmad B,Juan J N.Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditio. 被引量:1
  • 3Zhong W Y,Lin W.Nonlocal and multiple-point boundary value problem for fractional differential equations[J].Appl Math Comput,2010,59(3):1. 被引量:1
  • 4Ahmad B,Sivasundram S.Existence of solution for impulsive integral boundary value problems of fractional order[J].Nonlinear Anal:Hybrid S. 被引量:1
  • 5Ahmad B.Existence of solutions for irregular boundary value problems of nonlinear fractional ddifferential equations[J].Appl Math Lett,20. 被引量:1
  • 6Liu X P,Jia M.Multiple solutions for fractional differential equations with nonlinear boundary conditions[J]. Compu Math Appl,2010,59(8):. 被引量:1
  • 7Mujeeb UR R,Rahmat A K.Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equation. 被引量:1
  • 8Ahmad B,Sivasundram S.On four-point nonlocal boundary value problems of nonlinear integrodifferential equations of fractional order[J].Ap. 被引量:1
  • 9Lakshmikantham V,Leela S J,Vasundhar D.Theory of fractional dynamic systems[M].Cambridge: Cambridge Academic Publishers,2009. 被引量:1
  • 10尤秉礼.常微分方程补充教程[M].北京:人民教育出版社,1981.252. 被引量:49

共引文献33

同被引文献5

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部