Strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations

Abstract

In this article, we consider the diffusion equation with multi-term time-fractional derivatives. We first derive that the solution is positive when the source term is nonpositive by a subordination principle for the solution. As an application, we prove that the uniqueness of the inverse problem on the determination of the temporally varying source term by integral type information in a subdomain. Finally, several numerical experiments are presented to show the accuracy and efficiency of the algorithm.

References in corpus (5)

• Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
• Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients
• Subordination approach to multi-term time-fractional diffusion-wave equations
• Reconstruction of the Temporal Component in the Source Term of a (Time-Fractional) Diffusion Equation
• Initial-boundary value problems for multi-term time-fractional diffusion equations with x-dependent coefficients