Andrzej Lopushansky, Halyna Lopushansk
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 |
Rejtana str., 16A, 35-310 Rzeszów, Poland
| Halyna Lopushanska |
Department of Differential Equations
Ivan Franko National University of Lviv, Ukraine
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