ORCID Identifiers
Document Type
Article
Source of Publication
Advances in Difference Equations
Publication Date
12-1-2020
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.
DOI Link
ISSN
Publisher
Springer Science and Business Media Deutschland GmbH
Volume
2020
Issue
1
Last Page
15
Disciplines
Mathematics
Keywords
Atangana–Baleanu fractional derivative, Fractional calculus, Framelets, Harmonic numerical analysis, Numerical solution, Oblique extension principle, Volterra integral equations, Wavelets
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Mohammad, Mutaz and Trounev, Alexander, "Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications" (2020). All Works. 1718.
https://zuscholars.zu.ac.ae/works/1718
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series