Bernstein operational matrix of fractional derivatives and its applications

Authorsعباس سعادتمندی
JournalApplied Mathematical Modelling
Page number۱۳۶۵
Volume number۳۸
IFثبت نشده
Paper TypeFull Paper
Published At۱۳۹۲/۱۱/۲۶
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexSCOPUS ,JCR

Abstract

In this paper, Bernstein operational matrix of fractional derivative of order a in the Caputo sense is derived. We also apply this matrix to the collocation method for solving multiorder fractional differential equations. The numerical results obtained by the present method compares favorably with those obtained by various collocation methods earlier in the literature.

tags: Bernstein polynomials, Fractional-order differential equations, Collocation method, Operational matrix, Caputo derivative