A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation

We study local boundedness and Hölder continuity of a parabolic equation involving the fractional p-Laplacian of order s, with \(0<s<1\) $0<s<1$ , \(2\le p < \infty \) $2\le p<\infty$ , with a general right-hand side. We focus on obtaining precise Hölder continuity estimates. The proof is based on a perturbative argument using the already known Hölder continuity estimate for solutions to the equation with zero right-hand side.