Halyna Lopushanska, Andrzej Lopushansky, Olga Myaus
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
| Andrzej Lopushansky |
Rzeszów University, Rejtana str., 16A
35-310 Rzeszóow, Poland
| Olga Myaus |
Department of Higher Mathematics
National University "Lviv Polytechnic", Ukraine
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