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

Abstract

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. The credibility of the obtained results is verified by performing numerical calculations for a test problem.

19 pages. Presented at the 4-th IFAC Workshop on Fractional Differentiation and Its Applications, Badajoz, Spain, October 18-20, 2010

References in corpus (3)

• A Priori Estimates for Solutions of Boundary Value Problems for Fractional-Order Equations
• Fractional Cauchy problems on bounded domains
• Time-fractional derivatives in relaxation processes: a tutorial survey

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