Source of Publication
Advances in Difference Equations
Abstract
© 2020, The Author(s). 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.
Document Type
Article
Journal Title
Advances in Difference Equations
Publisher
Springer Science and Business Media LLC
Publication Date
12-1-2020
DOI
10.1186/s13662-020-03042-9
Recommended Citation
Mohammad, Mutaz and Trounev, Alexander, "Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications" (2020). Research Articles. 3.
https://zuscholars.zu.ac.ae/researcharticles/3