Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 199, pp. 128.
Determination of the order of fractional derivative and a kernel
in an inverse problem for a generalized time fractional diffusion equation
Jaan Janno
Abstract:
A generalized time fractional diffusion equation containing a lower order
term of a convolutional form is considered. Inverse problem to determine
the order of a fractional derivative and a kernel of the lower order term
from measurements of states over the time is posed. Existence, uniqueness
and stability of the solution of the inverse problem are proved.
Submitted February 15, 2016. Published July 25, 2016.
Math Subject Classifications: 35R30, 80A23.
Key Words: Inverse problem; fractional diffusion; fractional parabolic equation.
Show me the PDF file (363 KB),
TEX file for this article.

Jaan Janno
Tallinn University of Technology
Ehitajate tee 5
Tallinn, Estonia
email: jaan.janno@ttu.ee

Return to the EJDE web page