Establishes global existence and uniqueness of L¹-solutions to time-fractional nonlinear diffusion equations and shows mass conservation with no finite-time extinction for fast diffusion cases.
Cl´ ement,On abstract Volterra equations in Banach spaces with completely positive kernels, Infinite- dimensional systems (Retzhof, 1983), Lecture Notes in Math., vol
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Existence and uniqueness of $L^1$-solutions to time-fractional nonlinear diffusion equations
Establishes global existence and uniqueness of L¹-solutions to time-fractional nonlinear diffusion equations and shows mass conservation with no finite-time extinction for fast diffusion cases.