https://doi.org/10.1140/epjs/s11734-023-00935-0
Regular Article
Quadratic and cubic logistic models involving Caputo–Fabrizio operator
1
Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, United Arab Emirates
2
Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey
3
Department of Mathematics, College of Sciences and Arts, Najran University, Najran, Kingdom of Saudi Arabia
4
Department of Mathematics, Faculty of Applied Science, Taiz University, Taiz, Yemen
Received:
27
March
2023
Accepted:
2
July
2023
Published online:
26
July
2023
In this paper, we numerically investigate the fractional quadratic and cubic logistic models involving the Caputo–Fabrizio operator. We construct the successive iterations using the theory of fractional calculus and Lagrange polynomials. Then, we handled the exact solutions of these models. The validity of the accuracy and efficiency will be satisfied through some numerical results.
Mathematics Subject Classification: 41A50 / 65L12 / 65N12 / 65N35
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
