Askari Hemmat, A., Ismaeelpour, T., Saeedi, H. (2016). Quartic and pantic B-spline operational matrix of fractional integration. Wavelet and Linear Algebra, 3(2), 55-68. doi: 10.22072/wala.2016.23240

Ataollah Askari Hemmat; Tahereh Ismaeelpour; Habibollah Saeedi. "Quartic and pantic B-spline operational matrix of fractional integration". Wavelet and Linear Algebra, 3, 2, 2016, 55-68. doi: 10.22072/wala.2016.23240

Askari Hemmat, A., Ismaeelpour, T., Saeedi, H. (2016). 'Quartic and pantic B-spline operational matrix of fractional integration', Wavelet and Linear Algebra, 3(2), pp. 55-68. doi: 10.22072/wala.2016.23240

Askari Hemmat, A., Ismaeelpour, T., Saeedi, H. Quartic and pantic B-spline operational matrix of fractional integration. Wavelet and Linear Algebra, 2016; 3(2): 55-68. doi: 10.22072/wala.2016.23240

Quartic and pantic B-spline operational matrix of fractional integration

^{1}Depatrment of Mathematics Graduate University of Advanced Technology

^{2}Shahid Bahonar University of Kerman

^{3}Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this work, we proposed an effective method based on cubic and pantic B-spline scaling functions to solve partial differential equations of fractional order. Our method is based on dual functions of B-spline scaling functions. We derived the operational matrix of fractional integration of cubic and pantic B-spline scaling functions and used them to transform the mentioned equations to a system of algebraic equations. Some examples are presented to show the applicability and effectivity of the technique.

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