期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

非线性分数阶微分方程组奇异对偶系统正解存在性证明 被引量：2

The proof of the existence of a positive solution for a singular coupled system of nonlinear fractional differential equations
下载PDF
导出
摘要 分别应用锥上Leray-Schauder非线性抉择定理和Krasnoselskiis不动点定理,证明了非线性分数阶微分方程奇异对偶系统正解的存在性. In this paper we proof the existence of a positive solution to a singular coupled system of nonlinear fractional differential equations. The analysis rely on a nonlinear alternative of LeraySchauder type and Krasnoselskii＇s fixed point theorem in a cone.
作者 张稳根 胡卫敏 刘刚
机构地区 犁师范学院数学与统计学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2015年第2期14-20,共7页 Journal of Northeast Normal University(Natural Science Edition)
基金 新疆维吾尔自治区自然科学基金资助项目(201318101-14)
关键词 奇异非线性分数阶微分方程 正解 锥上不动点定理 singular nonlinear fractional differential equations positive solution fixed point theorem in cones
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献13

  • 1KRASNOSELSKII M A. Positive solutions of operator equations[M]. Groningen: Noordhoff, 1964 : 1-30.
  • 2MILLER K S,KROSS B. An introduction to the fractional calculus and fractional differential equation[M]. New York: Wiley, 1993:44-184.
  • 3KILBAS A ANATOLY, SRIVASFAVA H HARI, TRUJILLO. Theory and applications of fractional differential equations [M]. Amsterdam, North-Holland Mathematics Studies, Elsevier Science BV, 2006 : 56-90.
  • 4DELBOSCO D, RODINO L. Existence and uniqueness for a nonlinear fractional differential equation[J]. J Math Anal Appl, 1996,204:609-625.
  • 5ZHANG S. The existence of a positive solution for a nonlinear fractional differential equation[J]. J Math Anal Appl,2000,252: 804-812.
  • 6BAI C Z. The existence of a positive solution for a ingular coupled system of nonlinear fractional differential equations[J]. Applied Mathematics and Computation, 2004,150 : 611-62.
  • 7KILBAS A A,TRUJILLO J J. Differential equations of fractional order: methods,results,and problems[J]. J Appl Anal,2001, 78:153-192.
  • 8SAMKO S G,KILBAS A A, MARICHEV O I. Fractional integrals and derivatives:theory and applications[M]. Switzerland: Gordon and Breach Science Publishers, 1993:35-85.
  • 9ZHAO G, SUN S R, HAN Z L, et al. The existence of multiple positive solutions for boundary value problems of nonlinear fractional diffusion equations[J]. Commun Nonlinear Sci Numer Simulat, 2011,16 : 2086-2097.
  • 10XU X J,JIANG D Q, YUAN C J. Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation[J]. Nonlinear Analysis, 2009,71 : 4676-4688.

二级参考文献5

共引文献24

同被引文献22

  • 1KILBAS A A,SRIVASTAVA H M,TRUJILLO J J. Theory and applications of fractional differential equations[M]. Amsterda:Elsevier Science B V, 2006: 56-90.
  • 2NONNENMACHER T F. METZLER R. On the Riemann-Liouville fractional calculus and some recent applications [J].Fractals, 1995,3(3) :557-566.
  • 3XIONG Y, ZHONG L W, WEI D. Existence of positive solutions for the boundary value problem of nonlinear fractionaldifferential equations [J]. Commun Nonlinear Sci Numer Simulat. 2012,17 :85-92.
  • 4王刚.分数阶微分方程边值问题解的存在性[J].中国科技论文在线,2010,9:1-4.
  • 5BAI Z B.LU H S. Positive solutions for boundary value problem of nonlinear fractional differential equation [J]. Math AnalAppl, 2005,311.495-505.
  • 6ZHANG S Q. Positive solutions for boundary-value problems of nonlinear fractional differential equations [J]. ElectronicJournal of Differential Equations,2006,36: 1-12.
  • 7RUAN St WEI J. On the zeros of transcendental functions to stability o. delay differential equations with two delays[J]. DynContin Discrete Impuls Syst A Math Anal .2003.10 : 863-874. 2.
  • 8Han Zhen-lai, Lu Hong-ling, Zhang Chao. Positive solutions for value problems of fractional differential equation with generalized p-Laplacian[J]. Applied Mathematics and Computation, 2015(257): 526-536.
  • 9Chai Guo-qing. Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator[J]. Boundary Value Problems, 2012, 2012: 18-38.
  • 10Zhang Xing-qiu, Wang Lin, Sun Qian. Existence of positive solution for a class of nonlinear frac- tional differential equations with integral boundary conditions and parameter[J]. Applied Mathe- matics and Computation, 2014, 226: 708-718.

引证文献2

二级引证文献12

东北师大学报（自然科学版）
2015年 第2期

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