Inverse problem to identify a space-dependent diffusivity coefficient in a generalized subdiffusion equation from final data

Abstract

An inverse problem to determine a space-dependent diffusivity coefficient in a one-dimensional generalized time fractional diffusion equation from final data is considered. The global uniqueness and local existence and stability of the solution to this problem is proved. Proof of these statements is based on the fixed-point principle and previously obtained results regarding an inverse source problem for a generalized subdiffusion equation.

Keywords

• inverse problem
• final overdetermination
• generalized fractional evolution equation.