Geodesic
Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: We consider a linear heat equation involving a fractional derivative in time, with a nonlocal boundary condition. We determine a source term independent of the space variable, and the temperature distribution for a problem with an over-determining condition of integral type. We prove the existence and uniqueness of the solution, and its continuous dependence on the data.
Classification : 80A23, 65N21, 26A33, 45J05, 34K37, 42A16
Keywords: inverse problem, heat equation, fractional derivative, integral equations, bi-orthogonal system of functions, Fourier series 
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     author = {Aleroev, Timurkhan S. and Kirane, Mokhtar and Malik, Salman A.},
     title = {Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a165/}
}
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Aleroev, Timurkhan S.; Kirane, Mokhtar; Malik, Salman A. Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a165/