Uniqueness in inverse boundary value problems for fractional diffusion equations

Abstract

We consider an inverse boundary value problem for diffusion equations with multiple fractional time derivatives. We prove the uniqueness in determining a number of fractional time-derivative terms, the orders of the derivatives and spatially varying coefficients.

References in corpus (3)

• Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
• The Calderon problem with partial data on manifolds and applications
• Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

Cited by in corpus (5)

• On time-fractional diffusion equations with space-dependent variable order
• Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data
• Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior
• Initial-boundary value problems for coupled systems of time-fractional diffusion equations
• Recovering Multiple Fractional Orders in Time-Fractional Diffusion in an Unknown Medium