Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
复制标题
DOI：
10.1515/fca-2019-0022
复制
发表时间：
2018-06
影响因子：
3
通讯作者：
M. Kirane;B. Torebek
中科院分区：
文献类型：
--
作者：
M. Kirane;B. Torebek
Abstract In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-boundary-value problem for linear and nonlinear time-fractional diffusion equations possesses at most one classical solution and this solution depends continuously on the initial and boundary conditions. The extremum principle for an elliptic equation with a fractional Hadamard derivative is also proved.
