Inverse source Cauchy problem for a time fractional diffusion-wave equation with distributions

Date

2017-07-18

Authors

Lopushansky, Andrzej
Lopushanska, Halyna

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study the inverse Cauchy problem for a time fractional diffusion-wave equation with distributions in right-hand sides. The problem is to find a solution (continuous in time in generalized sense) of the direct problem and an unknown continuous time-dependent part of a source. The unique solvability of the problem is established.

Description

Keywords

Distribution, Fractional derivative, Inverse problem, Green vector-function

Citation

Lopushansky, A., & Lopushanska, H. (2017). Inverse source Cauchy problem for a time fractional diffusion-wave equation with distributions. <i>Electronic Journal of Differential Equations, 2017</i>(182), pp. 1-14.

Rights

Attribution 4.0 International

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