Algorithms for the fractional calculus: A selection of numerical methods Academic Article uri icon

abstract

  • Many recently developed models in areas like viscoelasticity, electrochemistry, diffusion processes, etc. are formulated in terms of derivatives (and integrals) of fractional (non-integer) order. In this paper we present a collection of numerical algorithms for the solution of the various problems arising in this context. We believe that this will give the engineer the necessary tools required to work with fractional models in an efficient way. © 2004 Elsevier B.V.

author list (cited authors)

  • Diethelm, K., Ford, N. J., Freed, A. D., & Luchko, Y. u.

citation count

  • 376

publication date

  • February 2005