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

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  • Y. Ordokhani*1,
  • N. Rahimi1,
  1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran.

Revised: 13-07-2016

Accepted: 13-07-2016

Published in Issue 01-03-2016

How to Cite

Ordokhani, Y., & Rahimi, N. (2016). HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. International Journal of Mathematical Modelling & Computations, 6(2), 149-158. https://oiccpress.com/ijm2c/article/view/11275

Abstract

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.
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