Time-memory operators

These pages introduce the supported time derivatives and explain how their memory is represented and advanced. Power-law memory uses either stored history or diffusive modes. Single-exponential memory has one exact state and no quadrature spectrum. Exponential memory is grouped here because it uses the time-memory interface, although its bounded kernel is not a fractional derivative.

• Caputo and Riemann-Liouville derivatives
• Diffusive representations of time memory
• How the memory is advanced
• Exponential (fading) memory