Application of Non-singular Kernel in a Tumor Model with Strong Allee Effect

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URI: http://hdl.handle.net/10347/29993
ISSN: 0971-3514
E-ISSN: 0974-6870
DOI: 10.1007/s12591-022-00622-x

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2022

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Springer
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We obtain the analytical solutions in implicit form of a tumor cell population differential equation with strong Allee effect. We consider the ordinary case and then a fractional version. Some particular cases are plotted

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Tumor growth model| Allee effect| Caputo-Fabrizio fractional derivative| Non-singular kernel

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Khajanchi, S., Sardar, M. & Nieto, J.J. Application of Non-singular Kernel in a Tumor Model with Strong Allee Effect. Differ Equ Dyn Syst (2022). https://doi.org/10.1007/s12591-022-00622-x

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The research of Juan J. Nieto has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under grant PID2020-113275GB-I00, and by Xunta de Galicia, grant ED431C 2019/02. Subhas Khajanchi acknowledges the financial support from the Department of Science and Technology (DST), Govt. of India, under the Scheme “Fund for Improvement of S &T Infrastructure (FIST)” [File No. SR/FST/MS-I/2019/41]. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature

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© 2022 The Authors. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/
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Estatística, Análise Matemática e Optimización