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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
Computational Method Based on Bernstein Operational Matrices for Multi-Order Fractional Differential Equations
Type
JournalPaper
Keywords
Bernstein Operational Matrices- Multi-Order Fractional Differential Equations
Year
2014
Journal Filomat
DOI
Researchers Hossein Jafari ، Davood Rostamy ، Mohsen Alipour ، Chaudry Masood Khalique2

Abstract

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 efficiency and accuracy of the proposed method is very good.