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math.NA2011★ 267 cited
A Priori Estimates for Solutions of Boundary Value Problems for Fractional-Order Equations
A. A. Alikhanov
We consider boundary value problems of the first and third kind for the diffusionwave equation. By using the method of energy inequalities, we find a priori estimates for the solut…
math.NA2011★ 86 cited
Boundary value problems for the diffusion equation of the variable order in differential and difference settings
A. A. Alikhanov
Solutions of boundary value problems for a diffusion equation of fractional and variable order in differential and difference settings are studied. It is shown that the method of e…