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非线性分数阶微分方程边值问题正解的存在性

Existence of Solution for a Boundary Value Problem of a Nonlinear Fractional Differential Equation
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摘要 利用Green函数的性质和Schauder不动点定理研究了一类非线性分数阶微分方程边值问题正解的存在性,得到了该问题一个解的存在性。 By using the properties of Green function and Schauder fixed point theorem, the existence of positive solutions to boundary value problem for a nonlinear fractional differential equation is studied in this paper.
出处 《安庆师范学院学报(自然科学版)》 2012年第4期8-10,共3页 Journal of Anqing Teachers College(Natural Science Edition)
关键词 分数微分方程 SCHAUDER不动点定理 边值问题 Riemann—Liouville导数 fractional differential equation, Schauder fixed point theorem, boundary value problem, Riemann - Liouville de-rivative
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  • 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
  • 2Bielicki A.Une remark Sur La methods be Banach Caccioppolitikhanov dans la theorie de equation differentiebles ordinaries.Bull de L'academic polonaise des sciences,Ser Sci cl As.4,1975
  • 3Miller K S,Ross B.An Introduction to the Fractional Calculus and Fractional Differential Equations.New York:Wiley,1993
  • 4Samko S G,Kilbas A A,Marichev O I.Fractional Integral and Derivatives (Theorey and Applications).Switzerland:Gordon and Breach,1993
  • 5Kiryakova V.Generalized Fractional Calculus and Applications.Longman,Ser Pitman Ress Note in Math No 301.Harlow,1994
  • 6Podlubny I.Fractional Differential Equations,Mathematics in Science and Engineering.Vol 198.New york,London,Toronto:Academic Press,1999
  • 7Aleroev T S.The Sturm-Loiuville problem for a second order ordinary differential equation with fractional derivatives in the lower terms (Russian).Differential'nye Uravneniya,1982,18(2):341-342
  • 8Zhang Shuqin.The existence of a positive solution for a nonlinear fractional differential equation.J Math Anal Appl,2000,252:804-812
  • 9Zhang Shuqin.Positive solution for some class of nonlinear fractional differential equation.J Math Anal Appl,2003,278(1):136-148
  • 10O'Regan D.Some general existence principles and results for (ψ(y'))' = q(t)f(t,y,y'),0 < t < 1.SIAM J Math Anal,1993,24:648-668

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