Space-time fractional derivative operators

  • Baeumer B
  • Meerschaert M
  • Mortensen J
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Abstract

Evolution equations for anomalous diffusion employ fractional derivatives in space and time. Linkage between the space-time variables leads to a new type of fractional derivative operator. This paper develops the mathematical foundations of those operators.

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Baeumer, B., Meerschaert, M., & Mortensen, J. (2005). Space-time fractional derivative operators. Proceedings of the American Mathematical Society, 133(8), 2273–2282. https://doi.org/10.1090/s0002-9939-05-07949-9

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