Determination of the order of fractional derivative for subdiffusion equations-Reference-Cited by-同舟云学术

Determination of the order of fractional derivative for subdiffusion equations

Published:2020-12-01 Issue:6 Volume:23 Page:1647-1662
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ashurov Ravshan¹,Umarov Sabir¹²

Affiliation:

1. Institute of Mathematics , Uzbekistan Academy of Science , Tashkent , 81 Mirzo Ulugbek str. 100170 , Uzbekistan

2. University of New Haven , Department of Mathematics , 300 Boston Post Road , West Haven , CT 06516 , USA

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0081/pdf

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