Geodesic
Inverse problems of periodic spatial distributions for a time fractional diffusion equation
Electronic Journal of Differential Equations, Tome 2016 (2016).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a10,
     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},
     publisher = {mathdoc},
     volume = {2016},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a10/}
}
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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__a10/