Decay of solutions to parabolic-type problem with distributed order Caputo derivative
Copyright policy )Decay of solutions to parabolic-type problem with distributed order Caputo derivative
We consider the decay of solution to fractional diffusion equation with the distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the weight function contained in the definition of the distributed order Caputo derivative is just integrable. We establish the relation between behavior of weight function near zero and the decay rate of solution.
temporal decay of solution, Mathematics - Analysis of PDEs, Asymptotic behavior of solutions to PDEs, FOS: Mathematics, time-depended elliptic operator, distributed order fractional diffusion, Fractional partial differential equations, 35R13, 35K45, 26A33, 34A08, Analysis of PDEs (math.AP)
temporal decay of solution, Mathematics - Analysis of PDEs, Asymptotic behavior of solutions to PDEs, FOS: Mathematics, time-depended elliptic operator, distributed order fractional diffusion, Fractional partial differential equations, 35R13, 35K45, 26A33, 34A08, Analysis of PDEs (math.AP)
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