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Chaos in a Cancer Model Via Fractional Derivatives With Exponential Decay and Mittag-Leffler Law

dc.contributor.author Guadalupe Lopez-Lopez, Maria
dc.contributor.author Manuel Alvarado-Martinez, Victor
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Khan, Hasib
dc.contributor.author Francisco Gomez-Aguilar, Jose
dc.date.accessioned 2019-12-05T13:44:56Z
dc.date.accessioned 2025-09-18T14:10:44Z
dc.date.available 2019-12-05T13:44:56Z
dc.date.available 2025-09-18T14:10:44Z
dc.date.issued 2017
dc.description Alvarado Martinez, Victor Manuel/0000-0003-1769-9607; Lopez Lopez, Ma. Guadalupe/0000-0003-3831-5174; Gomez-Aguilar, J.F./0000-0001-9403-3767; Khan, Hasib/0000-0002-7186-8435 en_US
dc.description.abstract 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. en_US
dc.description.sponsorship China Excellent Young Tallent Program; CONACyT: Catedras CONACyT para jovenes investigadores en_US
dc.description.sponsorship The authors appreciate the constructive remarks and suggestions of the anonymous referees that helped to improve the paper. This work was supported by the China Excellent Young Tallent Program. Jose Francisco Gomez-Aguilar and Victor Manuel Alvarado-Martinez acknowledge the support provided by CONACyT: Catedras CONACyT para jovenes investigadores 2014. en_US
dc.identifier.citation Francisco Gomez-Aguilar, Jose...et al. (2017). Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law, ENTROPY, 19(12). en_US
dc.identifier.doi 10.3390/e19120681
dc.identifier.issn 1099-4300
dc.identifier.scopus 2-s2.0-85058246966
dc.identifier.uri https://doi.org/10.3390/e19120681
dc.identifier.uri https://hdl.handle.net/20.500.12416/13766
dc.language.iso en en_US
dc.publisher Mdpi en_US
dc.relation.ispartof Entropy
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Cancer Model en_US
dc.subject Caputo-Fabrizio Fractional Derivative en_US
dc.subject Atangana-Baleanu Fractional Derivative en_US
dc.subject Sumudu-Picard Iterative Method en_US
dc.title Chaos in a Cancer Model Via Fractional Derivatives With Exponential Decay and Mittag-Leffler Law en_US
dc.title Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Alvarado Martinez, Victor Manuel/0000-0003-1769-9607
gdc.author.id Lopez Lopez, Ma. Guadalupe/0000-0003-3831-5174
gdc.author.id Gomez-Aguilar, J.F./0000-0001-9403-3767
gdc.author.id Khan, Hasib/0000-0002-7186-8435
gdc.author.scopusid 55389111400
gdc.author.scopusid 37120477200
gdc.author.scopusid 6603538550
gdc.author.scopusid 7005872966
gdc.author.scopusid 55258301900
gdc.author.wosid Khan, Hasib/Afj-9925-2022
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Gómez Aguilar, José/I-7027-2019
gdc.author.wosid Alvarado Martinez, Victor Manuel/B-6286-2009
gdc.author.wosid Lopez Lopez, Ma. Guadalupe/N-1486-2017
gdc.author.yokid 56389
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Francisco Gomez-Aguilar, Jose] CONACyT Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Guadalupe Lopez-Lopez, Maria; Manuel Alvarado-Martinez, Victor] Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG 23, R-76900 Magurele, Romania; [Khan, Hasib] Hohai Univ, Coll Engn Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China; [Khan, Hasib] Shaheed Benazir Bhutto Univ Sheringal, Dept Math, Dir Upper 18000, Sheringal, Pakistan en_US
gdc.description.issue 12 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 681
gdc.description.volume 19 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q2
gdc.identifier.openalex W2779288331
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gdc.oaire.keywords Atangana-Baleanu fractional derivative
gdc.oaire.keywords Science
gdc.oaire.keywords Physics
gdc.oaire.keywords QC1-999
gdc.oaire.keywords Q
gdc.oaire.keywords cancer model
gdc.oaire.keywords Astrophysics
gdc.oaire.keywords Sumudu-Picard iterative method
gdc.oaire.keywords cancer model; Caputo-Fabrizio fractional derivative; Atangana-Baleanu fractional derivative; Sumudu-Picard iterative method
gdc.oaire.keywords QB460-466
gdc.oaire.keywords Caputo-Fabrizio fractional derivative
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gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 78
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gdc.plumx.scopuscites 88
gdc.publishedmonth 12
gdc.scopus.citedcount 88
gdc.virtual.author Baleanu, Dumitru
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