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一类分数阶时滞微分系统的解 被引量:2

The Solution of A Class Fractional Differential Systems with Delay
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摘要 主要研究了一类分数阶时滞微分系统,首先利用分步法分析了系统解是唯一存在的,然后通过拉普拉斯变换求出了系统的通解. A class fractional differential systems with delay is discussed in this paper. Firstly, the solvability of the systems is researched by distribution method. Then the general solution of the systems is obtained by Laplace transformation.
作者 黄郑 蒋威
出处 《合肥学院学报(自然科学版)》 2012年第1期8-10,共3页 Journal of Hefei University :Natural Sciences
基金 国家自然科学基金项目(11071001) 高校博士点专项科研基金(20093401110001) 安徽省高校重大项目(KJ2010ZD02) 安徽大学青年科学研究基金项目(KJQN1001)资助
关键词 分数阶微分系统 时滞 通解 拉普拉斯变换 fractional differential systems delay general solutions Laplace transformation
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参考文献10

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二级参考文献30

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共引文献21

同被引文献23

  • 1Jiang Daqing, Yuan Chengjun. The Positive Properties of the Green Function for Dirichlet-type Boundary Value Problems of Nonlinear Fractional Differential Equations and Its Application [ J ]. Nonlinear Analysis: Theory, Methods & Application, 2010,72:710-719.
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  • 5Jiang Weihua. The Existence of Solutions to Boundary Value Problems of Fractional Differential at Resonance [ J ]. Nonlinear Analysis : Theory, Methods & Application,2011,74 : 1987-1994.
  • 6Zhang Shuqin. The Existence of a Positive Solution for a Nonlinear Fractional Differential Equation [ J ]. Journal of Mathematical Analysis and Applications ,2000,252:804-812.
  • 7DAS S, GUPTA P K, VISHAL K. Approximate approach to the Das model of fractional logistic population growth [J]. Appl Appl Math, 2010, 5(10) :1702 -1708.
  • 8EL-SAYED A M A, EL-MESIRY A E M, EL-SAKA H A A. On the fractional-order logistic equation [ J ]. Appl Math Lett, 2007, 20:817 -823.
  • 9ABBAS S, BANERJEE M, MOMANI S. Dynamical anal- ysis of fractional-order modified logistic model [J]. Com- put Math Appl, 2011, 62:1098 - 1104.
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