Computational method based on bernstein operational matrices for multi-order fractional differential equations
Date
2014Author
Rostamy, Davood
Jafarib, Hossein
Alipour, Mohsen
Khalique, Chaudry Masood
Metadata
Show full item recordAbstract
In this paper, the Bernstein operational matrices are used to obtain solutions of multi-order
fractional differential equations. In this regard we present a theorem which can reduce the nonlinear
fractional differential equations to a system of algebraic equations. The fractional derivative considered
here is in the Caputo sense. Finally, we give several examples by using the proposed method. These
results are then compared with the results obtained by using Adomian decomposition method, differential
transform method and the generalized block pulse operational matrix method. We conclude that our results
compare well with the results of other methods and the effciency and accuracy of the proposed method is
very good.