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- W2797906904 abstract "We focus on a inverse source problem in a partial differential equation containing a fractional derivative in time of the order 1 < β < 2 . The equation is accompanied with a non-standard boundary condition which consists of the classic flux term and the dynamical time-fractional derivative term on the one part of the boundary. To determine both the solution of the equation and the source term, a measurement in a form of a integral over space domain is considered. Using a time-discretization and Rothe’s method, we prove an existence of the strong solution in the suitable functional spaces, and the error estimate is established; moreover, the uniqueness is addressed. The results are supported by some numerical experiments." @default.
- W2797906904 created "2018-04-24" @default.
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- W2797906904 date "2018-06-01" @default.
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- W2797906904 title "A source identification problem in a time-fractional wave equation with a dynamical boundary condition" @default.
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- W2797906904 doi "https://doi.org/10.1016/j.camwa.2018.03.033" @default.
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