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一类分数阶脉冲微分方程边值问题的多重正解 被引量：5

Multiple positive solutions for a class of boundary value problem of impulsive fractional differential equations
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摘要 通过锥拉伸与锥压缩不动点定理得到了一类非线性分数阶脉冲微分方程边值问题正解的存在性和多重性结果. In this paper,we investigate the multiple positive solutions for a boundary value problem of nonlinear impulsive fractional differential equations. The arguments are based upon the fixed point theorem of cone expansion and compression with norm type.
作者 张爱华 胡卫敏
机构地区 伊犁师范学院数学与统计学院 菏泽市第二中学
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2015年第3期12-18,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 脉冲微分方程 边值问题 分数阶导数 锥拉伸与锥压缩不动点定理 impulsive differential equation boundary value problem fractional derivative fixed point theorem of cone expansion and compression with norm type
分类号 O175.8 [理学—基础数学]
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参考文献16

  • 1SAMKO S G,KILBAS A A,MARlCEV O I.Fractional integrals and derivatives[M].Yverdon:Gordon and Breach Science Publ,1993:366-398.
  • 2PODLUBNY I.Fractional differential equations,mathematics in science and engineering[M].New York,London,Toronto: Academic Press,1999:243-313.
  • 3DING WEI,WANG YU.New result for a class of impulsive differential equation with integral boundary conditions[J].Commun Nonlinear Sci Numer Simulat,2013,18(5):1095-1105.
  • 4郭大钧.MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE[J].Acta Mathematica Scientia,2012,32(6):2176-2190. 被引量：7
  • 5WANG XIAOHUAN,ZHANG JIHUI.Impulsive anti-periodic boundary value problem of first-order integro-differential equations[J]. Journal of Computational and Applied Mathematics,2010,234(12):3261-3267.
  • 6LI XIAOPING,CHEN FULAI,LI XUEZHU.Generalized anti-periodic boundary value problems of impulsive fractional differential equations[J].Commun Nonlinear Sci Numer Simulat,2013,18(1):28-41.
  • 7LIU ZHENHAI,LI XIUWEN.Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations[J].Commun Nonlinear Sci Numer Simulat,2013,18(6):1362-1373.
  • 8GUO TIANLIANG,JIANG WEI.Impulsive problems for fractional differential equations with boundary value conditions[J]. Computers and Mathematics with Applications*2012,64(10):3281-3291.
  • 9AHMAD BASHIR,SIVASUNDARAM S.Existence of solutions for impulsive integral boundary value problems of fractional order[J].Nonlinear Analysis:Hybrid Systems,2010,4:134-141.
  • 10WVNG GUOTAO ,AHMAD BASHIR?ZHANG LIHONG.Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order[J],Nonlinear Analysis,2011,74(3):792-804.

二级参考文献11

共引文献20

同被引文献54

  • 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5

二级引证文献12

东北师大学报（自然科学版）
2015年 第3期

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