Implicit Caputo-Fabrizio fractional differential equations with delay
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Published:2023-12-30
Issue:4
Volume:68
Page:727-742
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ISSN:0252-1938
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Container-title:Studia Universitatis Babes-Bolyai Matematica
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language:
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Short-container-title:Stud. Univ. Babes-Bolyai Math.
Author:
Krim SalimORCID, Abbas SaidORCID, , Benchohra MouffakORCID, , Nieto Juan J.ORCID,
Abstract
"This article deals with some existence and uniqueness results for several classes of implicit fractional differential equations with delay. Our results are based on some fixed-point theorems. To illustrate our results, we present some examples in the last section. Keywords: Caputo-Fabrizio fractional order derivative, implicit, delay, fixed point."
Publisher
Babes-Bolyai University Cluj-Napoca
Reference28 articles.
1. "[1] Abbas, S., Benchohra, M., Graef, J.G., Henderson, J., Implicit Fractional Differential and Integral Equations: Existence and Stability, De Gruyter, Berlin, 2018. 2. [2] Abbas, S., Benchohra, M., N'Géreékata, G.M., Topics in Fractional Differential Equations, Springer, New York, 2012. 3. [3] Abbas, S., Benchohra, M., N'Géreékata, G.M., Advanced Fractional Differential and Integral Equations, Nova Science Publishers, New York, 2015. 4. [4] Abbas, S., Benchohra, M., Nieto, J.J., Functional implicit hyperbolic fractional order differential equations with delay, Afr. Diaspora J. Math., 15(2013), no. 1, 74-96. 5. [5] Abbas, S., Benchohra, M., Vityuk, A.N., On fractional order derivatives and Darboux problem for implicit differential equations, Frac. Calc. Appl. Anal., 15(2012), 168-182.
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