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- W4311624576 abstract "In the present paper, we study the Cauchy-Dirichlet problem to a nonlocal nonlinear diffusion equation with polynomial nonlinearities $$mathcal {D}_{0|t}^{alpha }u+(-varDelta )^s_pu=gamma |u|^{m-1}u+mu |u|^{q-2}u,,gamma ,mu in mathbb {R},,m>0,q>1,$$ involving time-fractional Caputo derivative $$mathcal {D}_{0|t}^{alpha }$$ and space-fractional p-Laplacian operator $$(-varDelta )^s_p$$ . We give a simple proof of the comparison principle for the considered problem using purely algebraic relations, for different sets of $$gamma ,mu ,m$$ and q. The Galerkin approximation method is used to prove the existence of a local weak solution. The blow-up phenomena, existence of global weak solutions and asymptotic behavior of global solutions are classified using the comparison principle." @default.
- W4311624576 created "2022-12-27" @default.
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- W4311624576 date "2022-12-05" @default.
- W4311624576 modified "2023-09-26" @default.
- W4311624576 title "Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation" @default.
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- W4311624576 doi "https://doi.org/10.1007/s13540-022-00115-2" @default.
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