%0 Journal Article
%T Quartic and pantic B-spline operational matrix of fractional integration
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Askari Hemmat, Ataollah
%A Ismaeelpour, Tahereh
%A Saeedi, Habibollah
%D 2016
%\ 12/01/2016
%V 3
%N 2
%P 55-68
%! Quartic and pantic B-spline operational matrix of fractional integration
%K B-spline
%K Wavelet
%K fractional equation
%K partial differential equation
%K Operational matrix of integration
%R 10.22072/wala.2016.23240
%X 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.
%U https://wala.vru.ac.ir/article_23240_9ff0784850a6139d46d8de6393191c71.pdf