Identification problem for degenerate evolution equations of fractional order-Reference-Cited by-同舟云学术

Identification problem for degenerate evolution equations of fractional order

Published:2017-06-01 Issue:3 Volume:20 Page:706-721
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Fedorov Vladimir E.¹²³,Ivanova Natalia D.¹⁴

Affiliation:

1. Mathematical Analysis Dep. , Chelyabinsk State University Kashirin Brothers Str., 129 Chelyabinsk – 454001 , Russia

2. Biomedical School , South Ural State University Lenin Av ., 76 , Chelyabinsk – 454080 , Russia

3. Dep. of Programming and Automation of Business Processes , Shadrinsk State Pedagogical University , K. Liebknecht St., 3 Shadrinsk , Kurgan Region – 641800 , Russia

4. Computational Mechanics Dep ., South Ural State University Lenin Av ., 76 Chelyabinsk – 454080 , Russia

Abstract

Abstract The existence of a unique solution for the identification problem to linear fractional differential equations in Banach spaces were proved in the cases of the nondegenerate equation and of the equation with degenerate operator at the Caputo derivative. The degenerate case was studied for the overdetermination on the phase space and on the degeneracy subspace of the corresponding homogeneous equation. Abstract results are used to the investigation of the identification problem for time-fractional order Sobolev’s system of equations in the cases of the overdetermination on the fluid velocity and on the fluid pressure gradient.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0037/pdf

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