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The results are obtained using Liouville\u2013Caputo and new generalized Caputo-type fractional derivatives. The numerical simulations are presented for various orders of given derivatives. Existence and uniqueness analysis of the given problem are also performed in the new generalized Caputo sense. The explored results are verified using figures. The main target of this paper is to explore the different dynamics of the given dengue fever model via two types of fractional numerical algorithms. <\/jats:p>","DOI":"10.1142\/s1793962324500077","type":"journal-article","created":{"date-parts":[[2023,1,20]],"date-time":"2023-01-20T05:22:50Z","timestamp":1674192170000},"source":"Crossref","is-referenced-by-count":5,"title":["Solution of a dengue fever model via fractional natural decomposition and modified predictor\u2013corrector methods"],"prefix":"10.1142","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7755-2837","authenticated-orcid":false,"given":"Pushpendra","family":"Kumar","sequence":"first","affiliation":[{"name":"Institute for the Future of Knowledge, University of Johannesburg, P. O. Box 524, Auckland Park 2006, South Africa"}]},{"given":"Wei","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Information Science and Technology, Yunnan Normal University, Yunnan, P. R. 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