Quartic and pantic B-spline operational matrix of fractional integration

Document Type : Research Paper


1 Depatrment of Mathematics Graduate University of Advanced Technology

2 Shahid Bahonar University of Kerman

3 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.


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