DETERMINATION OF THE ORDER OF FRACTIONAL DERIVATIVE FOR SUBDIFFUSION EQUATIONS

被引：34

作者：

Ashurov, Ravshan ^{[1
]}

Umarov, Sabir ^{[2
]}

机构：

[1] Uzbek Acad Sci, Inst Math, 81 Mirzo Ulugbek Str, Tashkent 100170, Uzbekistan

[2] Univ New Haven, Dept Math, 300 Boston Post Rd, West Haven, CT 06516 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2020年 / 23卷 / 06期

关键词：

subdiffusion equation; Riemann-Liouville derivatives; inverse and initial-boundary value problem; determination of order of derivative; Fourier method; DIFFERENTIAL-EQUATIONS; DIFFUSION EQUATION;

D O I：

10.1515/fca-2020-0081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation with an arbitrary second order elliptic differential operator. We prove that the additional information about the solution at a fixed time instant at a monitoring location, as "the observation data", identifies uniquely the order of the fractional derivative.

引用

页码：1647 / 1662

页数：16

共 39 条

[1] Solution for a fractional diffusion-wave equation defined in a bounded domain [J].