Determination of the order of fractional derivative and a kernel in an inverse problem for a generalized time fractional diffusion equation

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.

Keywords

• Inverse problem
• fractional diffusion
• fractional parabolic equation