HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Abstract. In this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar functions are presented. In addition,...

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Bibliographic Details
Main Authors: Y. Ordokhani, N. Rahimi
Format: Article
Language:English
Published: Islamic Azad University 2016-03-01
Series:International Journal of Mathematical Modelling & Computations
Subjects:
differential equation
riemann-liouville integral
caputo fractional derivative
hybrid
rationalized haar
fractional operational matrix
Online Access:http://ijm2c.iauctb.ac.ir/article_523815_504fcc1c6be6e57116575a1e1f4abce6.pdf
Description
Summary:Abstract. In this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar functions are presented. In addition, the operational matrix of the fractional integration is obtained and is utilized to convert computation of fractional differential equations into some algebraic equa- tions. We evaluate application of present method by solving some numerical examples.
ISSN:2228-6225
2228-6233

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