Geodesic
Inverse problems of periodic spatial distributions for a time fractional diffusion equation
Electronic journal of differential equations, Tome 2016 (2016)
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.
Classification : 35S15
Keywords: fractional derivative, inverse problem, integral at times, over-determination 
@article{EJDE_2016__2016__a43,
     author = {Lopushanska,  Halyna and Lopushansky,  Andrzej and Myaus,  Olga},
     title = {Inverse problems of periodic spatial distributions for a time fractional diffusion equation},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1334.35392},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a43/}
}
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Lopushanska,  Halyna; Lopushansky,  Andrzej; Myaus,  Olga. Inverse problems of periodic spatial distributions for a time fractional diffusion equation. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a43/