Direct and Inverse Problems for an Abstract Differential Equation Containing Hadamard Fractional Derivatives

被引：7

作者：

Glushak, A. V. ^{[1
]}

Manaenkova, T. A. ^{[1
]}

机构：

[1] Belgorod State Univ, Belgorod, Russia

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 09期

关键词：

Inverse Problem; Cauchy Problem; Homogeneous Problem; Unique Solvability; Continuous Semigroup;

D O I：

10.1134/S0012266111090084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a Banach space, we consider a Cauchy type problem with a left Hadamard fractional derivative of order alpha is an element of (0, 1) and a Cauchy problem with a regularized Hadamard fractional derivative. We prove the well-posed solvability of such problems with a bounded operator as well as with the generator of a strongly continuous semigroup. For inverse coefficient problems, we indicate sufficient conditions for their unique solvability.

引用

页码：1307 / 1317

页数：11

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