^{}Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran.

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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