GALERKIN METHOD FOR TIME FRACTIONAL DIFFUSION EQUATIONS

Arnaud Rougirel (1) , Laid Djilali (2)

1 UP - Université de Poitiers = University of Poitiers
2 Université Abdelhamid Ibn Badis de Mostaganem

We propose a Galerkin method for solving time fractional diffusion problems under quite general assumptions. Our approach relies on the theory of vector valued distributions. As an application, the " goes to plus infinity " issue for these problems is investigated.

Domaines: Equations aux dérivées partielles [math.AP]

Arnaud Rougirel, Laid Djilali. GALERKIN METHOD FOR TIME FRACTIONAL DIFFUSION EQUATIONS. 2018. ⟨hal-01761523⟩