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- W2113934166 abstract "We consider a fractional order integro-differential equation with a weakly singular convolution kernel. The equation with homogeneous mixed Dirichlet and Neumann boundary conditions is reformulated as an abstract Cauchy problem, and well-posedness is verified in the context of linear semigroup theory. Then we formulate a continuous Galerkin method for the problem, and we prove stability estimates. These are then used to prove a priori error estimates. The theory is illustrated by a numerical example." @default.
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- W2113934166 date "2009-08-06" @default.
- W2113934166 modified "2023-09-23" @default.
- W2113934166 title "The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity" @default.
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- W2113934166 doi "https://doi.org/10.1093/imanum/drp014" @default.
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