Boundary value problems for the diffusion equation of the variable order in differential and difference settings

Details Boundary value problems for the diffusion equation of the variable order in differential and difference settings Boundary value problems for the diffusion equation of the variable order in differential and difference settings

2011-05-10

arxiv.org/abs/1105.2033v1

Mathematics

Numerical Analysis

13 pages. Presented at the 4-th IFAC Workshop on Fractional Differentiation and Its Applications, Badajoz, Spain, October 18-2

Scientific paper

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 energy inequalities is applicable to obtaining a
priori estimates for these problems exactly as in the classical case.

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