Daftar Isi: An efficient approximate method for solving fractional differential equations by using Bernoulli polynomials

Main Authors:	Keshavarz, Elham, Ordokhani, Yadollah
Format:	Proceeding
Terbitan:	, 2017
Subjects:	fractional differential equations Caputo fractional derivative Riemann-Liouville fractional integration Bernoulli polynomials operational matrix collocation method numerical solution Fractional wavelet Fractional calculus optimal control problem numerical analysis integral equation Time-delay system
Online Access:	https://zenodo.org/record/2667607

Daftar Isi:

In the current study, the Bernoulli polynomials are used to obtain the numerical solution of fractional differential equations. For the concept of fractional derivative, we will use Caputo sense. Also, the Bernoulli operational matrix of fractional integration is utilized to reduce the problem to a set of algebraic equations. Finally, some examples are included for demonstrate the validity and applicability of our method.