| 一类时间分数阶伪抛物方程基本解的存在性 |
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| 引用本文： | 陈剑春,曾有栋.一类时间分数阶伪抛物方程基本解的存在性[J].福州大学学报(自然科学版),2016,44(3):364-367. |
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| 作者姓名： | 陈剑春 曾有栋 |
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| 作者单位： | 福州大学数学与计算机科学学院，福建 福州 350108,福州大学数学与计算机科学学院，福建 福州 350108 |
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| 基金项目： | 国家自然基金面上项目(60875085) |
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| 摘 要： | 通过Fourier变换和Laplace变换及相应的逆变换找出基本解的Fourier变换的表达式,讨论一类时间分数阶伪抛物方程基本解的存在性.并通过该表达式证明了基本解的存在性和非负性.
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| 关 键 词： | 伪抛物方程 Caputo导数 Laplace变换 Fourier变换 |
Theexistence of fundamental solution for a class of time fractional pseudoparabolic equations |
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| CHEN Jianchun and ZENG Youdong.Theexistence of fundamental solution for a class of time fractional pseudoparabolic equations[J].Journal of Fuzhou University(Natural Science Edition),2016,44(3):364-367. |
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| Authors: | CHEN Jianchun and ZENG Youdong |
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| Institution: | College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China and College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China |
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| Abstract: | The fundamental solutions for a class of the time fractional pseudoparabolic partial differential equations are discussed in this paper by useing Fourier transform, Laplace transform and their corresponding inverse transforms.The existence and the nonnegativity of the fundamental solution are proved in the end. |
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| Keywords: | Pseudoparabolic Equations Caputo Derivative Fourier Transform Laplace Transform |
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