Numerical techniques for the variable order time fractional diffusion equation

@article{Shen2012NumericalTF,
  title={Numerical techniques for the variable order time fractional diffusion equation},
  author={Shujun Shen and Fawang Liu and J. Chen and Ian W. Turner and Vo V. Anh},
  journal={Applied Mathematics and Computation},
  year={2012},
  volume={218},
  pages={10861-10870}
}
In this paper we consider the variable order time fractional diffusion equation. We adopt the Coimbra variable order (VO) time fractional operator, which defines a consistent method for VO differentiation of physical variables. The Coimbra variable order fractional operator also can be viewed as a Caputo-type definition. Although this definition is the most appropriate definition having fundamental characteristics that are desirable for physical modeling, numerical methods for fractional… CONTINUE READING

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