The Bernstein operational matrices for solving the fractional quadratic Riccati differential equations with the Riemann-Liouville derivative
type: Item
instance of: scholarly article
title: The Bernstein operational matrices for solving the fractional quadratic Riccati differential equations with the Riemann-Liouville derivative
zbMATH Open document ID: 1291.65241
DOI: 10.1155/2013/461970
author: Mohsen Alipour
author: D. Baleanu
author: Hossein Jafari
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices. In this method, we use the operational matrix for fractional integration in the Riemann-Liouville sense. Then by using this matrix and operational matrix of product, we reduce the problem to a system of algebraic equations that can be solved easily. The efficiency and accuracy of the proposed method are illustrated by several examples.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6306845
Wikidata QID: Q58916327
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/461970
OpenAlex ID: W1974733716
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description: scientific article; zbMATH DE number 6306845