A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler Kernel
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Singh, Jagdev | |
| dc.date.accessioned | 2020-04-30T13:22:44Z | |
| dc.date.accessioned | 2025-09-18T14:10:18Z | |
| dc.date.available | 2020-04-30T13:22:44Z | |
| dc.date.available | 2025-09-18T14:10:18Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumar, Devendra/0000-0003-4249-6326 | en_US |
| dc.description.abstract | In this paper, we analyze the dynamical behavior of fish farm model related to Atangana-Baleanu derivative of arbitrary order. The model is constituted with the group of non-linear differential equations having nutrients, fish and mussel. We have included discrete kind gestational delay of fish. The solution of fish farm model is determined by employing homotopy analysis transforms method (HATM). Existence of and uniqueness of solution are studied through Picard-Lindelof approach. The influence of order of new non-integer order derivative on nutrients, fish and mussel is discussed. The complete study reveals that the outer food supplies manage the behavior of the model. Moreover, to show the outcomes of the study, some numerical results are demonstrated through graphs. | en_US |
| dc.identifier.citation | Singh, J., Kumar, D., Baleanu, Dumitru, "A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler-Type Kernel", International Journal of Biomathematics, Vol. 13, No. 2, (2020). | en_US |
| dc.identifier.doi | 10.1142/S1793524520500102 | |
| dc.identifier.issn | 1793-5245 | |
| dc.identifier.issn | 1793-7159 | |
| dc.identifier.scopus | 2-s2.0-85079391112 | |
| dc.identifier.uri | https://doi.org/10.1142/S1793524520500102 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13647 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Biomathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fish Farm Dynamical Model | en_US |
| dc.subject | Atangana-Baleanu Fractional Derivative | en_US |
| dc.subject | Picard-Lindelof Approach | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.title | A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler Kernel | en_US |
| dc.title | A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler-Type Kernel | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kumar, Devendra/0000-0003-4249-6326 | |
| gdc.author.scopusid | 55467157900 | |
| gdc.author.scopusid | 57192576535 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Singh, Jagdev] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Fac Arts & Sci, Eskisehir Yolu 29 Km, TR-06790 Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2050010 | |
| gdc.description.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2993549964 | |
| gdc.identifier.wos | WOS:000521150100002 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 90.0 | |
| gdc.oaire.influence | 8.310267E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Stability theory of functional-differential equations | |
| gdc.oaire.keywords | Atangana-Baleanu fractional derivative | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | Picard-Lindelof approach | |
| gdc.oaire.keywords | fish farm dynamical model | |
| gdc.oaire.keywords | fixed point theorem | |
| gdc.oaire.keywords | stability analysis | |
| gdc.oaire.keywords | Qualitative investigation and simulation of models involving functional-differential equations | |
| gdc.oaire.keywords | Population dynamics (general) | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
| gdc.oaire.popularity | 6.5834705E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 10.0317 | |
| gdc.openalex.normalizedpercentile | 0.99 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 101 | |
| gdc.plumx.crossrefcites | 80 | |
| gdc.plumx.mendeley | 11 | |
| gdc.plumx.scopuscites | 122 | |
| gdc.publishedmonth | 2 | |
| gdc.scopus.citedcount | 122 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 108 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |