https://doi.org/10.1140/epjp/s13360-022-03188-3
Regular Article
Approximate solutions of fuzzy fractional population dynamics model
1
Department of Mathematics, Faculty of Science, Al Balqa’ Applied University, 19117, Salt, Jordan
2
Department of Basic Sciences, Faculty of Arts and Sciences, Al-Ahliyyah Amman University, Amman, Jordan
3
Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, P. O. Box 1982, 31441, Dammam, Saudi Arabia
4
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, 43600, Bangi, Selangor, Malaysia
Received:
14
June
2022
Accepted:
12
August
2022
Published online:
28
August
2022
In this work, we employ the Laplace residual power series method (LRPSM) to acquire numerical results for the complex fuzzy fractional population dynamics model in Caputo’s sense. The solutions of this complex fractional model are calculated in the form of a convergent power series with easily computable components. Moreover, the accuracy and efficiency of the present method are shown via numerical examples. Finally, our results are simulated in terms of graphs for the several fractional order and at uncertainty .
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor 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.