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混合分数阶微分方程初值问题解的存在唯一性 被引量:1

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摘要 利用Banach压缩映射原理,研究混合分数阶微分方程的带权初值问题,建立解的存在唯一性的充分条件。
作者 李秋萍 张萌
出处 《安阳师范学院学报》 2013年第5期16-18,共3页 Journal of Anyang Normal University
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参考文献11

  • 1LAKSHMIKANTHAM V,VATSALA A S.Basic Theory of Fractional Differential Equations[J].Nonlinear Analysis,2008,69 (8):2677-2682.
  • 2LAKSHMIKANTHAM V,VATSALA A S.General Uniqueness and Monotone Iterative Technique for Fractional Differential Equations[J].Applied Mathematics Letters,2008,21(8):828-834.
  • 3ZHANG S Q.The Existence of a Positive Solution for a Nonlinear Fractional Differential Equation[J].Journal of Mathematical Analysis and Applications,2000,252 (2):804-812.
  • 4MCRAE F A.Monotone Iterative Technique and Existence Results for Fractional Differential Equations[J].Nonlinear Analysis,2009,71(12):6093-6096.
  • 5DELBSCO D,RODINO L.Existence and Uniqueness for a Nonlinear Fractional Differential Equation[J].1996,204(2):609-625.
  • 6苏新卫,刘兰冬.分数阶微分方程解的存在性[J].山西大学学报(自然科学版),2007,30(4):434-436. 被引量:10
  • 7张淑琴.分数阶奇异微分方程初值问题正解的存在性[J].数学学报(中文版),2007,50(4):813-822. 被引量:12
  • 8BABAKHANI A,DAFTAR-GEJJI V.Existence of Positive Solutions of Nonlinear Fractional Differential Equations[J].Journal of Mathematical Analysis and Applications,2003,278 (2):434-442.
  • 9SUN J P,ZHAO Y H.Multiplicity of Positive Solutions of a Class of Nonlinear Fractional Differential Equations[J].Computers and Mathematics with Applications,2005,49 (1):73-80.
  • 10LI Q P,SUN S R,HAN Z L,et al.Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations[J].Abstract and Applied Analysis,Volume? 2012(2012),Article ID? 615230,14 pages,doi:10.1155/2012/615230.

二级参考文献6

  • 1Chang Xing MIAO,Han YANG.The Self-similar Solution to Some Nonlinear Integro-differential Equations Corresponding to Fractional Order Time Derivative[J].Acta Mathematica Sinica,English Series,2005,21(6):1337-1350. 被引量:3
  • 2MILLER K S,ROSS B. An Introduction to the Fractional Calculus and Fractional Differential Equations[M]. New York:Wiley,1993.
  • 3DELBOSCO D,RODINO L. Existence and Uniqueness for a Nonlinear Fractional Differential Equation[J].J Math Anal Appl, 1996,204: 609-625.
  • 4DIETHLM K ,FORD N J. Analysis of Fractional Differential Equations[J]. J Math Anal Appl, 2002,265:229-248.
  • 5YU Cheng,GAO Guo zhu. On the Solution of Nonlinear Fractional Order Differential Eqution[J]. Nonlinear Analysis, 2005,63 : 971-976.
  • 6YU Cheng,GAO Guo zhu,Existence of Fractional Differential Equations[J]. J Math Anal Appl,2005,310:26-29.

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