Quartic and pantic B-spline operational matrix of fractional integration

In this work, we proposed an ef ective method based on cubic and pantic B-spline scaling functions to solve partial di fferential equations of frac- tional order. Our method is based on dual functions of B-spline scaling func- tions. 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 e fectivity of the technique.