Successive Approximations for Caputo-Fabrizio Fractional Differential Equations

Fatima Si Bachir; Saïd Abbas; Maamar Benbachir; Mouffak Benchohra

doi:10.2478/tmmp-2022-0009

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Successive Approximations for Caputo-Fabrizio Fractional Differential Equations

Tatra Mountains Mathematical Publications

Volume 81 (2022): Issue 1 (November 2022)

By: Fatima Si Bachir, Saïd Abbas, Maamar Benbachir and Mouffak Benchohra

Open Access

|Nov 2022

Abstract

In this work we deal with a uniqueness result of solutions for a class of fractional differential equations involving the Caputo-Fabrizio derivative. We provide a result on the global convergence of successive approximations.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2022-0009 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 117 - 128

Submitted on: Apr 9, 2021

Published on: Nov 29, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Caputo-Fabrizio fractional derivative,

generalized solution,

global convergence,

successive approximations

Related subjects:

Mathematics,

General mathematics

© 2022 Fatima Si Bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 81 (2022): Issue 1 (November 2022)