Strong maximum principle for fractional diffusion equations and an application to an inverse source problem Academic Article uri icon


  • © 2016 Diogenes Co., Sofia. The strong maximum principle is a remarkable property of parabolic equations, which is expected to be partly inherited by fractional diffusion equations. Based on the corresponding weak maximum principle, in this paper we establish a strong maximum principle for time-fractional diffusion equations with Caputo derivatives, which is slightly weaker than that for the parabolic case. As a direct application, we give a uniqueness result for a related inverse source problem on the determination of the temporal component of the inhomogeneous term.

altmetric score

  • 0.5

author list (cited authors)

  • Liu, Y., Rundell, W., & Yamamoto, M.

citation count

  • 47

publication date

  • August 2016