A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix
Loading...
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter Gmbh
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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, fractional order Riccati equations, linear B-spline function, operational matrix, Numerical methods for ordinary differential equations, Fractional ordinary differential equations, Numerical computation using splines
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
29
Source
Fractional Calculus and Applied Analysis
Volume
18
Issue
2
Start Page
387
End Page
399
PlumX Metrics
Citations
CrossRef : 26
Scopus : 32
Captures
Mendeley Readers : 9
Google Scholar™
