Solutions for the fractional Heisenberg-viscoelasticity equation

This study focuses on investigating the existence of weak solutions for a three-dimensional mathematical model that describes magneto viscoelastic interactions. The model combines a fractional version of the harmonic map heat flow equation with an evolution equation representing displacement. The main objective is to establish the global existence of weak solutions for the model. To achieve this, the Faedo-Galerkin/Penalty method is employed, and commutator estimates are used to demonstrate the convergence of the nonlinear terms