Existence and Hölder regularity of weak solutions to the fractional Landau-Lifshitz equation without Gilbert damping term is proved through viscosity approximation. Since the nonlinear term is nonlocal and of full order of the equation, a commutator is constructed to get the convergence of the approximating solutions.
"Existence and Hölder Regularity of the Fractional Landau-Lifshitz Equation without Gilbert Damping Term." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/757824