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A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix

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Date

2015

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Walter de Gruyter Gmbh

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Abstract

In this article, we develop an effective numerical method to achieve the numerical solutions of nonlinear fractional Riccati differential equations. We found the operational matrix within the linear B-spline functions. By this technique, the given problem converts to a system of algebraic equations. This technique is used to solve fractional Riccati differential equation. The obtained results are illustrated both applicability and validity of the suggested approach.

Description

Jafari, Hossein/0000-0001-6807-6675; Tajadodi, Haleh/0000-0001-8369-3698

Keywords

Fractional Order Riccati Equations, Linear B-Spline Function, Operational Matrix

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Citation

Jafari, H., Tajadodi, H., Baleanu, D. (2015). .A numerical approach for fractional order Riccati differential equation using b-spline operational matrix. Fractional Calculus And Applied Analysis, 18(2), 387-399. http://dx.doi.org/10.1515/fca-2015-0025

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Q1

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26

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Volume

18

Issue

2

Start Page

387

End Page

399
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CrossRef : 26

Scopus : 33

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Mendeley Readers : 9

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33

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24

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1

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2.51791255

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