Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law
| dc.authorid | Alvarado Martinez, Victor Manuel/0000-0003-1769-9607 | |
| dc.authorid | Lopez Lopez, Ma. Guadalupe/0000-0003-3831-5174 | |
| dc.authorid | Gomez-Aguilar, J.F./0000-0001-9403-3767 | |
| dc.authorid | Khan, Hasib/0000-0002-7186-8435 | |
| dc.authorscopusid | 55389111400 | |
| dc.authorscopusid | 37120477200 | |
| dc.authorscopusid | 6603538550 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 55258301900 | |
| dc.authorwosid | Khan, Hasib/Afj-9925-2022 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Gómez Aguilar, José/I-7027-2019 | |
| dc.authorwosid | Alvarado Martinez, Victor Manuel/B-6286-2009 | |
| dc.authorwosid | Lopez Lopez, Ma. Guadalupe/N-1486-2017 | |
| dc.contributor.author | Francisco Gomez-Aguilar, Jose | |
| dc.contributor.author | Baleanu, Dumitru | |
| 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.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2019-12-05T13:44:56Z | |
| dc.date.available | 2019-12-05T13:44:56Z | |
| dc.date.issued | 2017 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [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 |
| 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.publishedMonth | 12 | |
| 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.description.woscitationindex | Science Citation Index Expanded | |
| 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.issue | 12 | en_US |
| dc.identifier.scopus | 2-s2.0-85058246966 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.3390/e19120681 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wos | WOS:000419007900050 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 84 | |
| 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 | tr_TR |
| dc.title | Chaos in a Cancer Model Via Fractional Derivatives With Exponential Decay and Mittag-Leffler Law | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 49 | |
| dspace.entity.type | Publication | |
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