Numerical analysis for distributed-order differential equations

Kai Diethelm, Neville J. Ford
2009 Journal of Computational and Applied Mathematics  
In this paper we present and analyse a numerical method for the solution of a distributed order differential equation of the general form where the derivative D r * is taken to be a fractional derivative of Caputo type of order r. We give a convergence theory for our method and conclude with some numerical examples. Distributed order differential equation, multi-term fractional differential equation, numerical solution, convergence *
doi:10.1016/j.cam.2008.07.018 fatcat:j3vqt53cs5fmnfknyytk3qhaiu