Source of Publication
Advances in Difference Equations
© 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.
Springer Science and Business Media Deutschland GmbH
Atangana–Baleanu fractional derivative, Fractional calculus, Framelets, Harmonic numerical analysis, Numerical solution, Oblique extension principle, Volterra integral equations, Wavelets
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Mohammad, Mutaz and Trounev, Alexander, "Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications" (2020). All Works. 1718.
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Open Access Type
Gold: This publication is openly available in an open access journal/series