Rzeszów University
Rejtana str., 16A, 35-310 Rzeszów, Poland
email: alopushanskyj@gmail.com
Department of Differential Equations
Ivan Franko National University of Lviv, Ukraine
email: lhp@ukr.net
Andrzej Lopushansky, Halyna Lopushansk
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.
Submitted April 24, 2017. Published July 18, 2017.
Math Subject Classifications: 35S15.
Key Words: Distribution; fractional derivative; inverse problem;
Green vector-function.
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| Andrzej Lopushansky Rzeszów University Rejtana str., 16A, 35-310 Rzeszów, Poland email: alopushanskyj@gmail.com | |
|
Halyna Lopushanska Department of Differential Equations Ivan Franko National University of Lviv, Ukraine email: lhp@ukr.net |
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