Authors
Maria Luísa Morgado, Neville J Ford, Pedro Miguel Lima
Publication date
2013/11/30
Journal
Journal of Computational and Applied Mathematics
Volume
252
Pages
159-168
Publisher
North-Holland
Description
In this paper, we consider fractional differential equations with delay. We focus on linear equations. We summarise existence and uniqueness theory based on the method of steps and we give a theorem on the propagation of derivative discontinuities. We discuss the dependence of the solution on the parameters of the equation and conclude with a numerical treatment and examples based on the adaptation of a fractional backward difference method to the delay case.
Scholar articles
ML Morgado, NJ Ford, PM Lima - Journal of computational and applied mathematics, 2013