Inverse problems of periodic spatial distributions for a time fractional diffusion equation

Date
2016-01-07
Authors
Lopushanska, Halyna
Lopushansky, Andrzej
Myaus, Olga
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Fractional derivative, Inverse problem, Integral at times, Over-determination
Citation
Lopushanska, H., Lopushansky, A., & Myaus, O. (2016). Inverse problems of periodic spatial distributions for a time fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2016</i>(14), pp. 1-9.