Fractional Abstract Differential Equations and Applications

被引：0
作者：
Veli Shakhmurov
机构：
[1] Istanbul Okan University,Department of Mechanical Engineering
[2] Azerbaijan National Academy of Sciences,Institute of Mathematics and Mechanics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2021年 / 44卷
关键词：
Fractional-differential equations; Sobolev–Lions spaces; Abstract differential equations; Maximal ; regularity; Abstract parabolic equations; Operator-valued multipliers; 47GXX; 34L30; 34A12; 34A40; 47DXX; 43AXX;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Boundary value problems for fractional elliptic equations with parameter in Banach spaces are studied. Uniform Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{p}$$\end{document}-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Particularly, it is proven that the fractional elliptic operators generated by these equations are positive and also are generators of the analytic semigroups. Moreover, maximal regularity properties of the fractional abstract parabolic equation are established. As an application, the parameter-dependent anisotropic fractional differential equations and the system of fractional differential equations are studied.
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页码：1065 / 1078
页数：13
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