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分数阶微分方程多点分数阶边值问题 被引量:5

Fractional Multi-point Boundary Value Problem of Fractional Differential Equations
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摘要 研究分数阶微分方程多点分数阶边值问题解的存在性与唯一性,利用不动点定理,得到了边值问题存在唯一解和至少存在1个解的充分条件. In this paper, we investigate existence and uniqueness of solutions for a class of fractional multi-point boundary value problems for fractional differential equations. In the light of fixed-point theorems, some sufficient conditions are obtained to guarantee the existence of a unique solution or at least one solution of the boundary value problems.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第11期188-194,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(60604004) 河北省自然科学基金数学研究专项资助(07M005) 秦皇岛市科技支撑计划项目(201001 A37)
关键词 分数阶微分方程 多点分数阶边值问题 不动点 fractional differential equations multi-point boundary conditions fixed point theorems
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参考文献5

  • 1Li C E, Luo X N, Zhou Y. Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations[J]. Comput Math, Appl, 2010, 59: 1363-1375.
  • 2PODLUBNY I. Fractional Differential Equations, Mathematics in Science and Engineering[M]. New York, London, Toronto: Academic Press, 1999.
  • 3BAI Z B, LV Haishen. Positive solutions for boundary value problem of nonlinear fractional differ- ential equation[J]. J Math Anal Appl, 2005, 311: 495-505.
  • 4BAI Z B. On positive solutions of a nonlocal fractional boundary value problem[J]. Nonlinear Anal, 2010, 72: 916-924.
  • 5Zhong W Y, Lin Wei. Nonlocal and multiple-point boundary value problem for fractional differential equations[J]. Comput Math Appl, 2010, 59: 1345-1351.

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