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.
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| Jaan Janno |
Tallinn University of Technology
Ehitajate tee 5
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