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Analysis of Some Generalized Abc - Fractional Logistic Models

dc.contributor.author Al-Mdallal, Qasem M.
dc.contributor.author Jarad, Fahd
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Hajji, Mohamed A.
dc.date.accessioned 2020-05-13T09:50:54Z
dc.date.accessioned 2025-09-18T13:27:45Z
dc.date.available 2020-05-13T09:50:54Z
dc.date.available 2025-09-18T13:27:45Z
dc.date.issued 2020
dc.description.abstract In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffler kernels (ABC) are studied. This study mainly focuses on modified quadratic and cubic logistic models in the presence of a Caputo type fractional derivative. Existence and uniqueness theorems are proved and stability analysis is discussed by perturbing the equilib-rium points. Numerical illustrative examples are discussed for the studied models. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/). en_US
dc.identifier.citation Abdeljawad, T...et al. (2020). "Analysis of Some Generalized Abc – Fractional Logistic Models",Analysis of Some Generalized Abc – Fractional Logistic Models. en_US
dc.identifier.doi 10.1016/j.aej.2020.01.030
dc.identifier.issn 1110-0168
dc.identifier.issn 2090-2670
dc.identifier.scopus 2-s2.0-85079900665
dc.identifier.uri https://doi.org/10.1016/j.aej.2020.01.030
dc.identifier.uri https://hdl.handle.net/20.500.12416/13047
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Alexandria Engineering Journal
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Generalized Mittag-Leffler Kernel en_US
dc.subject Generalized Abc - Fractional Derivatives en_US
dc.subject Generalized Abc - Fractional Integrals en_US
dc.subject Abc - Logistic Equations en_US
dc.subject Modified Abc - Logistic Model en_US
dc.title Analysis of Some Generalized Abc - Fractional Logistic Models en_US
dc.title Analysis of Some Generalized Abc – Fractional Logistic Models tr_TR
dc.type Article en_US
dspace.entity.type Publication
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gdc.author.scopusid 6504742215
gdc.author.scopusid 15622742900
gdc.author.wosid Jarad, Fahd/T-8333-2018
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
gdc.author.wosid Al-Mdallal, Qasem/Abe-5996-2020
gdc.author.yokid 234808
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gdc.coar.access open access
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gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Hajji, Mohamed A.; Al-Mdallal, Qasem M.] United Arab Emirates Univ, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates; [Jarad, Fahd] Cankaya Univ, Dept Mahemat, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan en_US
gdc.description.endpage 2148 en_US
gdc.description.issue 4 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 2141 en_US
gdc.description.volume 59 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W3008558348
gdc.identifier.wos WOS:000563769700009
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gdc.oaire.keywords Modified ABC – logistic model
gdc.oaire.keywords General Mathematics (math.GM)
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords ABC – logistic equations
gdc.oaire.keywords Generalized Mittag-Leffler kernel
gdc.oaire.keywords TA1-2040
gdc.oaire.keywords Engineering (General). Civil engineering (General)
gdc.oaire.keywords Generalized ABC – fractional integrals
gdc.oaire.keywords Mathematics - General Mathematics
gdc.oaire.keywords Generalized ABC – fractional derivatives
gdc.oaire.popularity 3.3838123E-8
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gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 50
gdc.plumx.crossrefcites 51
gdc.plumx.mendeley 19
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gdc.scopus.citedcount 53
gdc.virtual.author Jarad, Fahd
gdc.virtual.author Abdeljawad, Thabet
gdc.wos.citedcount 47
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