摘要
证明了Grünwald-Letnikov型分数阶导数的拉普拉斯变换性质,利用拉普拉斯及逆变换求解Grünwald-Letnikov型时间分布阶反常扩散方程边值问题的解析解;利用拉普拉斯变换和傅里叶变换及逆变换求解Caputo型时间分布阶反常扩散方程初值问题的解析解.
The properties of Laplace transformation of fractional derivatives of Günwald-Letnikov type were proved in the paper.The analytical solutions of boundary value problems of Günwald-Letnikov type time-distributed order anomalous diffusion equation were solved by Laplace and inverse transformation,and the initial value problems of Caputo type time-distributed order anomalous diffusion equation were solved by Laplace transformation,Fourier transformation and inverse transformation.
作者
郑达艺
张洁
ZHENG Da-yi;ZHANG Jie(Mathematics Research Department,Fujian Institute of Education,Fuzhou,Fujian 350025,China)
出处
《宁德师范学院学报（自然科学版）》
2020年第3期231-234,共4页
Journal of Ningde Normal University(Natural Science)
基金
福建教育厅中青年教师教育科研项目(科技类)(JAT160701).
