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We study local boundedness and H\"older continuity of a parabolic equationinvolving the fractional $p$-Laplacian of order $s$, with $0<s<1$, $2\leq p <\infty$, with a general right hand side. We focus on obtaining precise H\"oldercontinuity estimates. The proof is based on a perturbative argument using thealready known H\"older continuity estimate for solutions to the equation withzero right hand side.

A perturbative approach to H\"older continuity of solutions to a nonlocal $p$-parabolic equation