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非线性分数阶脉冲微分方程边值问题的解 被引量：4

Solutions for a Boundary Value Problem of Nonlinear Impulsive Fractional Differential Equations
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摘要 通过Schauder不动点定理和Banach压缩映射原理得到了一类非线性分数阶脉冲微分方程边值问题解的存在性和唯一性结果. In this paper, we investigate existence and uniqueness of solutions for a boundary value problem of nonlinear impulsive fractional differential equations. The arguments are based upon Schauder and Banach fixed-point theorems.
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
出处 《数学的实践与认识》 CSCD 北大核心 2014年第6期233-240,共8页 Mathematics in Practice and Theory
基金 新疆普通高校重点培育学科基金(XJZDXK2011004)
关键词 分数阶微分方程 脉冲条件 边值问题 不动点定理 fractional differential equation impulsive conditions boundary value problemfixed-point theorem
分类号 O175.8 [理学—基础数学]
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参考文献12

  • 1Samko S G, Kilbas A A, Marichev 0 I. Fractional integrals and derivatives (Theory and Applica-tions) [M]. Gordon and Breach Science Publishers, Switzerland, 1993.
  • 2Podlubny I. Fractional Differential Equations, Mathematics in Science and Engineering[M]. New York, London, Toronto: Academic Press, 1999.
  • 3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
  • 4Ding W, Wang Y. New result for a class of impulsive differential equation with integral boundary conditions[J]. Commun Nonlinear Sci Numer Simulat, 2013, 18(5): 1095-1105.
  • 5Cao J X, Chen H B. Impulsive fractional differential equations with nonlinear boundary condi- tions[J]. Mathematical and Computer Modelling, 2012, 55(3): 303-311.
  • 6Guo T L, Jiang W. Impulsive problems for fractional differential equations with boundary value conditions[J]. Computers and Mathematics with Applications, 2012, 64(10): 3281-3291.
  • 7Li X P, Chen F L, Li X Z. Generalized anti-periodic boundary value problems of impulsive fractional differential equations[J]. Commun Nonlinear Sci Numer Simulat, 2013, 18(1): 28-41.
  • 8Liu Z H, Li X W. Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations[J]. Commun Nonlinear Sci Numer Simulat, 2013, 18(6): 1362-1373.
  • 9钟文勇.分数阶微分方程多点边值问题的正解[J].吉首大学学报（自然科学版）,2010,31(1):9-12. 被引量：9
  • 10Kilbas A A, Srivastava H M, Trujillo J J. Theory and Applications of lYactional Diiterentlal Equations[M]. North-Holland Mathematics Studies, 204, Elsevier Science B V, Amsterdam, 2006.

二级参考文献9

共引文献12

同被引文献17

引证文献4

二级引证文献7

数学的实践与认识
2014年 第6期

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