Successive Approximations for Caputo-Fabrizio Fractional Differential Equations-Reference-Cited by-同舟云学术

Successive Approximations for Caputo-Fabrizio Fractional Differential Equations

Published:2022-11-01 Issue:1 Volume:81 Page:117-128
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Bachir Fatima Si¹,Abbas Saïd²,Benbachir Maamar³,Benchohra Mouffak⁴

Affiliation:

1. University of Ghardaia , Algeria

2. University of Saïda–Dr. Moulay Tahar , EN-Nasr, Saïda , Algeria

3. University of Blida , Algeria

4. Djillali Liabes University of Sidi Bel-Abbès , Sidi Bel-Abbès , Algeria

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2022-0009

Reference32 articles.

1. [1] ABBAS, S.—ARARA, A.—BENCHOHRA, M.: Global convergence of successive approximations for abstract semilinear differential equations, PanAmer. Math. J. 29 (2019), no. 1, 17–31.

2. [2] ABBAS, S.—BENCHOHRA, M.—GRAEF J. R.—HENDERSON, J.: Implicit Fractional Differential and Integral Equations: Existence and Stability. De Gruyter, Berlin, 2018.10.1515/9783110553819

3. [3] ABBAS, S.—BENCHOHRA, M.—HAMIDI, N.: Successive approximations for the Darboux problem for implicit partial differential equations, PanAmer. Math. J. 28 (2018), no. 3, 1–10.

4. [4] ABBAS, S.—BENCHOHRA, M.—N’GUÉRÉKATA, G. M.: Topics in Fractional Differential Equations, Springer-Verlag, Berlin, 2012.10.1007/978-1-4614-4036-9

5. [5] ABBAS, S.—BENCHOHRA, M.—N’GUÉRÉKATA, G. M.: Advanced Fractional Differential and Integral Equations. Nova Science Publishers, New York, 2015.

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