期刊文献+

带有积分条件的分数阶微分方程边值问题耦合系统

Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations with Integral Boundary Conditions
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摘要 主要研究了一类带有积分条件的分数阶微分方程边值问题耦合系统,并运用Schauder不动点定理,得到了一些解的存在性结果,同时给出了一个例子来验证该结论. A class of boundary value problem for a coupled differential system of fractional order with in-tegral boundary conditions was studied. By means of Schauder fixed-point theorem, some existence results for the solution were obtained, and one example was given to illustrate the results.
出处 《集美大学学报(自然科学版)》 CAS 2013年第4期297-301,共5页 Journal of Jimei University:Natural Science
基金 国家自然科学基金资助项目(11071001) 安徽省自然科学基金资助项目(1208085MA13) 安徽大学211项目资助(KJTD002B KJJQ005)
关键词 分数阶微分方程 边值问题 耦合系统 SCHAUDER不动点 fractional differential equation boundary value problem coupled system Schauder fixedpoint theorem
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参考文献7

  • 1SAMKO S G, KILBAS A A, MARICHEV O L Fractional integrals and derivatives: Francisco: Gordon and Broach Science Publishers, 1993.
  • 2PODLUBNY I. Fractional differential equations [ M ]. San Diego: Academic Press, 1999.
  • 3SABATIER J, AGRAWAL O P, MACHADO J A T. Advances in fractional calculus : theoretical developments and appli- cations in physics and engineering [ M ]. Dordrecht: Springer, 2007.
  • 4LAZAREVI C, SPASI C, Finite-time stability analysis of fractional order time-delay systems : Gronzwall approach [ J ]. Math Comput Modelling, 2009, 4: 475-481.
  • 5BASHIR AHMAD S, SIVASUNDARAM. On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order [ J]. Applied Mathematics and Computation, 2010, 217: 480-487.
  • 6LAKSHMIKANTHAM V, LEELA S, VASUNDHARA DEVI J. Theory of fractional dynamic systems [ M ]. Cambridge : Cambridge Academic Publishers, 2009.
  • 7郭大钧.非线性分析[M].济南:山东科学技术出版社,2004.

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