130 citations · 192 across the 13 of their papers we have counts for
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math.AP2017★ 22 cited
Decay of solutions to parabolic-type problem with distributed order Caputo derivative
Adam Kubica, Katarzyna Ryszewska
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…
math.AP2017
Fractional diffusion equation with the distributed order Caputo derivative
Adam Kubica, Katarzyna Ryszewska
We consider fractional diffusion equation with the distributed order Caputo derivative. We prove existence of a weak and regular solution for general uniformly elliptic operator un…
math.AP2017★ 130 cited
Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients
Adam Kubica, Masahiro Yamamoto
We discuss an initial-boundary value problem for a fractional diffusion equation with Caputo time-fractional derivative where the coefficients are dependent on spatial and time var…