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-  2015 

一类具有时滞的分数阶微分方程边值问题正解的存在性
Existence of positive solutions of the boundary value problem for a class of fractional differential equations with delay

DOI: 10.6040/j.issn.1671-9352.0.2014.140

Keywords: 时滞,,不动点定理,两点边值问题,分数阶微分方程,
delay
,two-point boundary value problem,fixed point theorem,cone,fractioal order differential equation

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Abstract:

摘要: 研究了一类具有时滞的分数阶微分方程两点边值问题解的存在性,利用一个锥上的不动点定理和一些分析技巧获得了该边值问题正解存在的充分条件,补充和完善了一些已有的结果。
Abstract: A class of fractional differential equation with two-point boundary value problem and delay is studied. By using a fixed point theorem on cones and some analysis technique, some sufficient conditions on the existence of solutions for this boundary value problem are obtained,Some known results are extended and improved

References

[1]  BAI Zhanbing, Lü Haishen. Positive solutions of boundary value problems of nonlinear fractional differential equation[J]. J Math Anal Appl, 2005, 311:495-505.
[2]  LI Xiaoyan, LIU Song, JIANG Wei. Positive solutions for boundary value problem of nonlinear fractional functional differential equations[J]. Applied Mathematics and Computation, 2011, 217(22):9278-9285.
[3]  ZHAO Yulin, CHEN Haibo, HUANG Li. Existence of positive solutions for nonlinear fractional functional differential equation[J].Computers & Mathematics with Applications, 2012, 64(10):3456-3467.
[4]  ZHANG Shuqin. Positive solutions for boundary value problems of nonlinear fractional differential equations [J]. Electr J Differential Equations, 2006(36):1-12.
[5]  MILLER K S, ROSS B. An introduction to the fractional calculus and fractional differential equations[M]. New York: Wiley, 1993.
[6]  PODLUBNY I. Fractional differential equation[M]. San Diego: Academic Press, 1999.
[7]  KILBAS A A, SRIVASTAVA H M, TRUJILLO J J. Theory and applications of fractional differential equations[M]. Netherlands: Elsevier B V, 2006.
[8]  ZHAO Yige, SUN Shurong, HAN Zhenlai. Positive solutions for boundary value problems of nonlinear fractional differential equations[J]. Applied Mathematics and Computation, 2011, 217(16):6950-6958.
[9]  ZHANG Yinghan, BAI Zhanbing. Existence of solutions for nonlinear fractional three-point boundary value problems at resonance[J]. J Appl Math Comput, 2011, 36(1/2):417-440.
[10]  BAI Zhanbing. Solvability for a class of fractional m-point boundary value problem at resonance[J]. Computers & Mathematics with Applications, 2011,62 (3):1292-1302.
[11]  CHEN Taiyong, LIU Wenbin, HU Zhigang. A boundary value problem for fractional differential equation with p-Laplacian operator at resonance[J]. Nonlinear Anal, 2012,75(6):3210-3217.
[12]  JIANG Weihua. Eigenvalue interval for multi-point boundary value problems of fractional differential equations[J]. J Appl Math Comput, 2013, 219(9):4570-4575.
[13]  葛渭高. 非线性常微分方程边值问题[M].北京:科学出版社,2007.

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