Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative
Copyright policy )Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative
<p style='text-indent:20px;'>In this paper, we consider a nonlinear fractional diffusion equations with a Riemann-Liouville derivative. First, we establish the global existence and uniqueness of mild solutions under some assumptions on the input data. Some regularity results for the mild solution and its derivatives of fractional orders are also derived. Our key idea is to combine the theories of Mittag-Leffler functions, Banach fixed point theorem and some Sobolev embeddings.</p>
Fractional derivatives and integrals, well-posedness, regularity estimates, Smoothness and regularity of solutions to PDEs, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Riemann-Liouville fractional derivative, time diffusion equation, Fractional partial differential equations
Fractional derivatives and integrals, well-posedness, regularity estimates, Smoothness and regularity of solutions to PDEs, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Riemann-Liouville fractional derivative, time diffusion equation, Fractional partial differential equations
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