Continuity of solutions to a nonlinear fractional diffusion equation

We study a parabolic equation for the fractional p-Laplacian of order s, for p≥2[12pt]{minimal} {amsmath} {wasysym} {amsfonts} {amssymb} {amsbsy} {mathrsfs} {upgreek} {}{-69pt} {document}p≥ 2{document} and 0<s<1[12pt]{minimal} {amsmath} {wasysym} {amsfonts} {amssymb} {amsbsy} {mathrsfs} {upgreek} {}{-69pt} {document}$$0<s<1$${document}. We provide space-time Hölder estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of Moser’s technique.