Solvability of the acid-mediated tumor growth model with nonlinear acid production term

The main goal of the paper is to establish the solvability of the 3D acid-mediated tumor growth model combined with the Dirichlet and Neuman boundary conditions in the fractional-order Sobolev spaces using the Schauder fixed point theorem. Further, the uniqueness of solutions is also proved using the duality approach and Gronwall’s lemma.