{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:41:01Z","timestamp":1760146861999,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,17]],"date-time":"2024-12-17T00:00:00Z","timestamp":1734393600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This study explores the application of generalized conformable derivatives in modeling hotel demand dynamics in Mexico, using the Gompertz-type model. The research focuses on customizing conformable functions to fit the unique characteristics of the Mexican hotel industry, considering the Tourist Area Life Cycle (TALC) model and aiming to enhance forecasting accuracy. The parameter adjustment in all cases was made by designing a convex function, which represents the difference between the theoretical model and real data. Results demonstrate the effectiveness of the generalized conformable derivative approach in predicting hotel demand trends, showcasing its potential for improving decision-making processes in the Mexican hospitality sector. The comparison between the logistic and Gompertz models, in both integer and fractional versions, provides insights into the suitability of these modeling techniques for capturing the dynamics of hotel demand in the studied regions.<\/jats:p>","DOI":"10.3390\/axioms13120876","type":"journal-article","created":{"date-parts":[[2024,12,17]],"date-time":"2024-12-17T08:17:00Z","timestamp":1734423420000},"page":"876","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Fractional Gompertz Model with Generalized Conformable Operators to Forecast the Dynamics of Mexico\u2019s Hotel Demand and Tourist Area Life Cycle"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0914-9314","authenticated-orcid":false,"given":"Fidel","family":"Mel\u00e9ndez-V\u00e1zquez","sequence":"first","affiliation":[{"name":"Escuela Superior de Apan, Universidad Aut\u00f3noma del Estado de Hidalgo, San Agust\u00edn Tlaxiaca 43900, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1765-3206","authenticated-orcid":false,"given":"Josu\u00e9 N.","family":"Guti\u00e9rrez-Corona","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica y Matem\u00e1ticas, Universidad Iberoamericana, Mexico City 01219, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9262-9951","authenticated-orcid":false,"given":"Luis A.","family":"Quezada-T\u00e9llez","sequence":"additional","affiliation":[{"name":"Escuela Superior de Apan, Universidad Aut\u00f3noma del Estado de Hidalgo, San Agust\u00edn Tlaxiaca 43900, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9695-3409","authenticated-orcid":false,"given":"Guillermo","family":"Fern\u00e1ndez-Anaya","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica y Matem\u00e1ticas, Universidad Iberoamericana, Mexico City 01219, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7580-7533","authenticated-orcid":false,"given":"Jorge E.","family":"Mac\u00edas-D\u00edaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Didactics of Mathematics, Tallinn University, 10120 Tallinn, Estonia"},{"name":"Departamento de Matem\u00e1ticas y F\u00edsica, Universidad Aut\u00f3noma de Aguascalientes, Aguascalientes 20131, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3","DOI":"10.21832\/9781845410278-007","article-title":"The concept of a tourist area cycle of evolution: Implications for management of resources","volume":"1","author":"Butler","year":"2006","journal-title":"Tour. 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