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. Electronic Journal of Differential Equations, 2017(182), pp. 1-14.
Rights
Attribution 4.0 International