Coefficient inverse problem for a fractional diffusion equation

Аннотация

In this paper, we consider an initial/boundary value problem for a fractional diffusion equation in a bounded domain Ω: where is the Caputo derivative and 0 < α < 2, α ≠ 1. We discuss an inverse problem of determining spatial coefficient p(x), x ∈ Ω and/or order α of the fractional derivative by data u|ω × (0, T), where ω⊂Ω is a sub-domain. Our main result is the uniqueness under conditions where the initial value is positive and ω is a neighbourhood of ∂Ω. The proof is done by transforming the solution u to the solution of the wave equation.

Идентификаторы

DOI

10.1088/0266-5611/29/7/075013

Цитирования и источники