Please use this identifier to cite or link to this item:
http://hdl.handle.net/2080/2340
Title: | Numerical Solution of Fractional Order Differential-Algebraic Equations Using Generalized Triangular Function Operational Matrices |
Authors: | Damarla, S K Kundu, M |
Keywords: | Numerical Solution Algebraic Equaltion Operation Metrics Triangular Function |
Issue Date: | 2015 |
Publisher: | Journal of Fractional Calculus and Applications |
Citation: | Journal of Fractional Calculus and Applications, 6(2), 31-52 |
Abstract: | This article introduces a new application of piecewise linear orthogonal triangular functions to solve fractional order differential-algebraic equations. The generalized triangular function operational matrices for approximating Riemann-Liouville fractional order integral in the triangular function (TF) domain are derived. Error analysis is carried out to estimate the upper bound of absolute error between the exact Riemann-Liouville fractional order integral and its TF approximation. Using the proposed generalized operational matrices, linear and nonlinear fractional order differential-algebraic equations are solved. The results show that the TF estimate of Riemann-Liouville fractional order integral is accurate and effective. |
URI: | http://hdl.handle.net/2080/2340 |
ISSN: | 2090-5858 |
Appears in Collections: | Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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JFCA_6_2_31- 52_2015.pdf | 429.03 kB | Adobe PDF | View/Open |
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