For the porous fractional p-Laplacian problem with power source, the authors prove existence and uniqueness of weak-mild solutions and characterize global stabilization, finite-time extinction, and blow-up.
Variational methods for nonlocal fractional problems , volume 162
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Existence and global behaviour of solutions of a parabolic problem involving the fractional $p$-Laplacian in porous medium
For the porous fractional p-Laplacian problem with power source, the authors prove existence and uniqueness of weak-mild solutions and characterize global stabilization, finite-time extinction, and blow-up.