Approximate analytical solution for nonlinear system of fractional differential equations by BPS operational matrices
type: Item
instance of: scholarly article
title: Approximate analytical solution for nonlinear system of fractional differential equations by BPS operational matrices
zbMATH Open document ID: 1273.34004
DOI: 10.1155/2013/954015
author: Mohsen Alipour
author: D. Baleanu
published in: Advances in Mathematical Physics
publication date: 2013-06-07T00:00:00Z
review text: Summary: We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the Bernstein polynomials (BPs). In the first method, we use the operational matrix of Caputo fractional derivative (OMCFD), and, in the second one, we apply the operational matrix of Riemann-Liouville fractional integral (OMRLFI). The obtained results are in good agreement with each other as well as with the analytical solutions. We show that the solutions approach to classical solutions as the order of the fractional derivatives approaches one.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6171652
zbMATH Keywords: Riemann-Liouville fractional integral
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: Caputo fractional derivative
Wikidata QID: Q58918909
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/954015
OpenAlex ID: W2105277762
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description: scientific article; zbMATH DE number 6171652