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一类非齐次分数阶偏微分方程Cauchy问题 被引量：1

Cauchy problems for a class of nonhomogeneous fractional partial differential equations
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摘要 运用Laplace-Fourier变换及其逆变换,对一类Caputo型非齐次分数阶偏微分方程Cauchy问题经典解的存在性进行研究,并分析此经典解的渐近行为.最后,通过数值举例来说明该方法的有效性. This paper is concerned with the existence of classical solutions for a class of nonhomogeneous fractional partial differential equations via the Laplace- Fourier transforms and their inverse transforms. The asymptotic property of so- lutions are derived. Finally, the simulation example is provided to illustrate the main results.
作者 葛富东 寇春海
机构地区 东华大学信息科学与技术学院 东华大学理学院
出处 《应用数学与计算数学学报》 2015年第2期127-135,共9页 Communication on Applied Mathematics and Computation
基金 上海市自然科学基金资助项目(15ZR1400800) 中央高校基本科研业务费专项基金资助项目(CUSFDH-D-2014061)
关键词 非齐次 分数阶偏微分方程 存在性 渐近性 nonhomogeneous fractional partial differential equations existence asymptoticity
分类号 O175.29 [理学—基础数学]
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参考文献12

  • 1Kilbas A A, Srivastava H M, TrujilloJ J. Theory and Applications of Fractional Differential Equations[M]. North-Holland: Elsevier, 2006.
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  • 3郭柏灵,蒲学科,黄凤辉.分数阶偏微分方程及其数值解[M].北京:科学出版社,2011.
  • 4黄凤辉,郭柏灵.一类时间分数阶偏微分方程的解[J].应用数学和力学,2010,31(7):781-790. 被引量：13
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二级参考文献8

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共引文献34

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引证文献1

  • 1段俊生,寇春海,李常品.前言[J].应用数学与计算数学学报,2015,29(2).
应用数学与计算数学学报
2015年 第2期

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