HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
الموضوعات : فصلنامه ریاضی
Y. Ordokhani
1
(Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra
University, Tehran, Iran.)
N. Rahimi
2
(Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra
University, Tehran, Iran.)
الکلمات المفتاحية: Hybrid, Differential equation, Riemann-Liouville integral, Caputo fractional derivative, Rationalized Haar, Fractional operational matrix,
ملخص المقالة :
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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