Article ID Journal Published Year Pages File Type
4641546 Journal of Computational and Applied Mathematics 2009 9 Pages PDF
Abstract

In this paper we present and analyse a numerical method for the solution of a distributed-order differential equation of the general form ∫0mA(r,D∗ru(t))dr=f(t) where mm is a positive real number and where the derivative D∗r is taken to be a fractional derivative of Caputo type of order rr. We give a convergence theory for our method and conclude with some numerical examples.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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