Wellposedness of Neumann boundary-value problems of space-fractional differential equations

被引：0
作者：
Hong Wang
Danping Yang
机构：
[1] University of South Carolina Columbia,Department of Mathematics
[2] East China Normal University,Department of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
Primary 35R11; 65F10; 65M06; 65M22; Secondary 65T50; fractional differential equation; Neumann boundary value problem; wellposedness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Fractional differential equation (FDE) provides an accurate description of transport processes that exhibit anomalous diffusion but introduces new mathematical difficulties that have not been encountered in the context of integer-order differential equation. For example, the wellposedness of the Dirichlet boundary-value problem of one-dimensional variable-coefficient FDE is not fully resolved yet. In addition, Neumann boundary-value problem of FDE poses significant challenges, partly due to the fact that different forms of FDE and different types of Neumann boundary condition have been proposed in the literature depending on different applications.
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页码：1356 / 1381
页数：25
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