文章基本信息

标题：Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications
本地全文：下载
作者：Mutaz Mohammad ; Alexander Trounev
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-15
DOI：10.1186/s13662-020-03042-9
出版社：Hindawi Publishing Corporation
摘要：In this work, we propose a framelet method based on B-spline functions for solving nonlinear Volterra–Fredholm integro-differential equations and by involving Atangana–Baleanu fractional derivative, which can provide a reliable numerical approximation. The framelet systems are generated using the set of B-splines with high vanishing moments. We provide some numerical and graphical evidences to show the efficiency of the proposed method. The obtained numerical results of the proposed method compared with those obtained from CAS wavelets show a great agreement with the exact solution. We confirm that the method achieves accurate, efficient, and robust measurement.
关键词：Framelets ; Numerical solution ; Fractional calculus ; Atangana–Baleanu fractional derivative ; Wavelets ; Harmonic numerical analysis ; Volterra integral equations ; Oblique extension principle