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分数阶微分方程积分边值问题正解的存在性 被引量:3

Existence of Positive Solutions for Fractional Differential Equation with Integral Boundary Value Conditions
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摘要 研究了一类带有积分边值条件的分数阶微分方程边值问题,运用Schauder不动点定理,得到了边值问题正解存在的充分条件,改进了已有的结果,同时给出了一些实例,说明所得结果的有效性. A investigated. guarantee the Furthermore, class of fractional differential equation with integral boundary value problems is By using the Schauder fixed-point theorem, some sufficient conditions are established to existence of positive solutions for this kind of problems, which improve the known results. some examples are given to illustrate the advantages of the results.
作者 靳威 寇春海
机构地区 东华大学理学院
出处 《东华大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第5期695-698,共4页 Journal of Donghua University(Natural Science)
基金 国家自然科学基金资助项目(10971221)
关键词 分数阶微分方程 积分边值问题 正解 SCHAUDER不动点定理 fractional differential equation integral boundary conditions positive solutions Schauderfixed-point theorem
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  • 1Lomtatidze A, Malaguti L. On a nonlocal boundary-value problems for second order nonlinear singular differential equations. Georgian Math J, 2000, 7:133-154.
  • 2MSnch H. Boundary value problems for nonlinear ordinary differential equation of second order in Banach spaces. Nonlinear Anal, 1980, 4:985-999.
  • 3O'Regan D. Integral equations in reflexive Banach spaces and the weak topologies. Proc AMS, 1998, 27(5): 607-614.
  • 4O'Regan D. Weak solutions of ordinary differential equations in Banach spaces. Appl Math Letters, 1999, 12:101-105.
  • 5Ozdarska D, Szufla S. Weak solutions for boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces. Math Slovaca, 1993, 43:301-307.
  • 6Pettis B J. On integration in vector spaces. Trans Amer Math Soc, 1938, 44:277-304.
  • 7Salem H A H, Vath M. An abstract Gronwall lemma and application to global existence results for functional differential and integral equations of fractional order. J Integral Equations Appl, 2004, 16: 411-429.
  • 8Salem H A H, E1-Sayed A M A, Moustafa O L. A note on the fractional calculus in Banach spaces. Studia Sci Math Hungar, 2005, 42(2): 115-130.
  • 9Samko S, Kilbas A, Marichev O. Fractional Integrals and Drivatives. Gordon and Breach Science Publisher, 1993.
  • 10Satco B. Second order three boundary value problem in Banach spaces via Henstock and Henstock- Kurzweil-Pettis integral. J Math Anal Appl, 2007, 332:919-933.

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