An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm with model endowed with a Caputo–Fabrizio fractional derivative. By means of such an approach, we utilize th...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2021; no. 1; pp. 1 - 18
Main Authors:	Al-Smadi, Mohammed, Djeddi, Nadir, Momani, Shaher, Al-Omari, Shrideh, Araci, Serkan
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 26.05.2021 Springer Nature B.V SpringerOpen
Subjects:	Abel-type differential equation Algorithms Analysis Caputo–Fabrizio fractional derivative Convergence Difference and Functional Equations Differential equations Error analysis Exact solutions Functional Analysis Hilbert space Kernels Mathematical models Mathematics Mathematics and Statistics Numerical analysis Numerical solution Ordinary Differential Equations Partial Differential Equations Reproducing kernel algorithm Abel-type differential equation Caputo–Fabrizio fractional derivative Error analysis Reproducing kernel algorithm Numerical solution
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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