期刊文献+

一类分数阶微分方程多点边值问题解的存在性(英文)

Existence of Solutions to a Fractional Differential Equation with Multi-point Boundary Conditions
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摘要 本文运用Krasnoselskii和Schauder不动点定理,得到了一类分数阶微分方程多点边值问题解的存在性. In this paper, the existence of the solutions to a fractional differential equation with multi - point boundary conditions are showed by virtue of the Krasnoselskii fixed point theorem and the Schauder fixed point theorem.
出处 《数学理论与应用》 2012年第3期11-16,共6页 Mathematical Theory and Applications
关键词 分数阶微分方程、边值问题、不动点定理 Fractional Differential Equation Boundary Value Problem Fixed Point Theorem
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参考文献12

  • 1I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
  • 2A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier B. V. , Amsterdam, 2006.
  • 3K. S. Miller, B. Ross, An introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.
  • 4V. Gafiychuk, B. Datsko, V. Meleshko, Mathematical modelling of time fractional reaction diffusion systems, J. Comput, Appl. Math. 220 (2008) 215 - 225.
  • 5M.P. Lazarevi'c, Finite time stability analysis ofPD~ fractional differential equations, J. Math. Anal. Appl. 302 (2005) 56 - 64.
  • 6C. Bai, J. Fang, The existence of a positive solution for a singular coupled system of nonlinear fractional dii~eren- tial equations, Appl. Math. Comput. 150 (2004) 611 - 621.
  • 7X. Su, Boundary value problem for a coupled system of nonlinear fractional differential equations, Appl. Math. Lett. 22(2009)64 -69.
  • 8Bashir Ahmad, Juan J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three - point boundary conditions, Comput. Math. Appl. 58 (2009) 1838 - 1843.
  • 9X. Su, S. Zhang, Solutions to boundary - value problems for nonlinear differential equations of fractional order. ElectronJ. Differential Equations 2009 (26) ( 2009 ) 115.
  • 10Z. Bai, H. Lu, Positive solutions for boundary value problem of nonlinear fractional differential equation, J. Math. Anal. Appl. 311 (2005) 495 - 505.

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