TY - JOUR ID - 23240 TI - Quartic and pantic B-spline operational matrix of fractional integration JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Askari Hemmat, Ataollah AU - Ismaeelpour, Tahereh AU - Saeedi, Habibollah AD - Depatrment of Mathematics Graduate University of Advanced Technology AD - Shahid Bahonar University of Kerman AD - Shahid Bahonar University of Kerman, Kerman, Iran Y1 - 2016 PY - 2016 VL - 3 IS - 2 SP - 55 EP - 68 KW - B-spline KW - Wavelet KW - fractional equation KW - partial differential equation KW - Operational matrix of integration DO - 10.22072/wala.2016.23240 N2 - 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. UR - https://wala.vru.ac.ir/article_23240.html L1 - https://wala.vru.ac.ir/article_23240_9ff0784850a6139d46d8de6393191c71.pdf ER -