Halyna Lopushanska, Andrzej Lopushansky, Olga Myaus
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.
Submitted November 25, 2015. Published January 7, 2016.
Math Subject Classifications: 35S15.
Key Words: Fractional derivative; inverse problem; integral at times;
over-determination.
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Halyna Lopushanska Department of Differential Equations Ivan Franko National University of Lviv, Ukraine email: lhp@ukr.net |
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| Andrzej Lopushansky Rzeszów University, Rejtana str., 16A 35-310 Rzeszóow, Poland email: alopushanskyj@gmail.com | |
| Olga Myaus Department of Higher Mathematics National University "Lviv Polytechnic", Ukraine email: myausolya@mail.ru |
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