Ataollah Askari Hemmat - Depatrment of Mathematics Graduate University of Advanced Technology
Tahereh Ismaeelpour - Shahid Bahonar University of Kerman
Habibollah Saeedi - Shahid Bahonar University of Kerman, Kerman, Iran

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.

B-spline, Wavelet, fractional equation, partial differential equation, Operational matrix of integration