Inverse problems of periodic spatial distributions for a time fractional diffusion equation

Date

2016-01-07

Authors

Lopushanska, Halyna
Lopushansky, Andrzej
Myaus, Olga

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

For a time fractional diffusion equation and a diffusion-wave equation with Caputo partial derivative we prove the inverse problem is well posed. This problem consists in the restoration of the initial data of a classical solution in time and with values in a space of periodic spatial distributions. A time integral over-determination condition is used.

Description

Keywords

Fractional derivative, Inverse problem, Integral at times, Over-determination

Citation

Lopushanska, H., Lopushansky, A., & Myaus, O. (2016). Inverse problems of periodic spatial distributions for a time fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2016</i>(14), pp. 1-9.

Rights

Attribution 4.0 International

Rights Holder

Rights License