{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T21:13:12Z","timestamp":1784927592971,"version":"3.55.0"},"reference-count":47,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2017,12,19]],"date-time":"2017-12-19T00:00:00Z","timestamp":1513641600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense. Special solutions using an iterative scheme via Laplace transform, Sumudu-Picard integration method and Adams-Moulton rule were obtained. We studied the uniqueness and existence of the solutions. Novel chaotic attractors with total order less than three are obtained.<\/jats:p>","DOI":"10.3390\/e19120681","type":"journal-article","created":{"date-parts":[[2017,12,19]],"date-time":"2017-12-19T10:48:40Z","timestamp":1513680520000},"page":"681","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":81,"title":["Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9403-3767","authenticated-orcid":false,"given":"Jos\u00e9","family":"G\u00f3mez-Aguilar","sequence":"first","affiliation":[{"name":"CONACyT-Tecnol\u00f3gico Nacional de Mexico\/CENIDET, Interior Internado Palmira s\/n Col. Palmira C.P., Cuernavaca 62490, Mexico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3831-5174","authenticated-orcid":false,"given":"Mar\u00eda","family":"L\u00f3pez-L\u00f3pez","sequence":"additional","affiliation":[{"name":"Tecnol\u00f3gico Nacional de Mexico\/CENIDET, Interior Internado Palmira s\/n Col. Palmira C.P., Cuernavaca 62490, Mexico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Victor","family":"Alvarado-Mart\u00ednez","sequence":"additional","affiliation":[{"name":"Tecnol\u00f3gico Nacional de Mexico\/CENIDET, Interior Internado Palmira s\/n Col. Palmira C.P., Cuernavaca 62490, Mexico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0286-7244","authenticated-orcid":false,"given":"Dumitru","family":"Baleanu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Ankara 06790, Turkey"},{"name":"Institute of Space Sciences, P.O. Box, MG-23, Magurele-Bucharest R 76900, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hasib","family":"Khan","sequence":"additional","affiliation":[{"name":"College of Engineering, Mechanics and Materials, Hohai University, Nanjing 210098, China"},{"name":"Department of Mathematics, Shaheed Benazir Bhutto University Sheringal, Dir Upper, Sheringal 18000, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,12,19]]},"reference":[{"key":"ref_1","unstructured":"Oldham, K.B., and Spanier, J. (1974). 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