Hemmat, Ataollah Askari; Ismaeelpour, Tahereh; Saeedi, Habibollah Quartic and pantic B-spline operational matrix of fractional integration. (English) Zbl 1369.65114 Wavel. Linear Algebra 3, No. 2, 55-68 (2016). Summary: 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. Cited in 4 Documents MSC: 65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs 35R11 Fractional partial differential equations 65D07 Numerical computation using splines 65T60 Numerical methods for wavelets Keywords:B-spline; wavelet; fractional equation; partial differential equation; operational matrix of integration; numerical examples PDFBibTeX XMLCite \textit{A. A. Hemmat} et al., Wavel. Linear Algebra 3, No. 2, 55--68 (2016; Zbl 1369.65114) Full Text: DOI