Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776629 | Applied Numerical Mathematics | 2017 | 33 Pages |
Abstract
In this paper, fractional backward differential formulas (FBDF) are presented for the numerical solution of fractional delay differential equations (FDDEs) of the form λn0CDtαny(t)+λnâ10CDtαnâ1y(t)+â¯+λ10CDtα1y(t)+λn+1y(tâÏ)=f(t),tâ[0,T], where λiâR(i=1,â¯,n+1),λn+1â 0,0⩽α1<α2<â¯<αn<1,T>0, in Caputo sense. Our investigation is focused on stability properties of the numerical methods and we determine stability regions for the FDDEs. Also we find the Green's functions for this equation corresponding to periodic/anti-periodic conditions in terms of the functions of Mittag Leffler type. Numerical tests are presented to confirm the strength of the approach under investigation.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
M. Saedshoar Heris, M. Javidi,