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

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

Abstract 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 u...

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Bibliographic Details
Main Authors: Mohammed Al-Smadi, Nadir Djeddi, Shaher Momani, Shrideh Al-Omari, Serkan Araci
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
Caputo–Fabrizio fractional derivative
Abel-type differential equation
Reproducing kernel algorithm
Numerical solution
Error analysis
Online Access:https://doi.org/10.1186/s13662-021-03428-3

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