ORCID Identifiers

0000-0003-0976-6021

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.

ISSN

1687-1839

Publisher

Springer Science and Business Media Deutschland GmbH

Volume

2020

Issue

1

Last Page

15

Disciplines

Life Sciences

Keywords

Atangana–Baleanu fractional derivative, Fractional calculus, Framelets, Harmonic numerical analysis, Numerical solution, Oblique extension principle, Volterra integral equations, Wavelets

Scopus ID

85094889474

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

Included in

Life Sciences Commons

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