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Fractional physical problems including wind-influenced projectile motion with mittag-leffler kernel

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dc.contributor.author Özarslan, Ramazan
dc.contributor.author Baş, Erdal
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Acay, Bahar
dc.date.accessioned 2022-04-29T12:57:58Z
dc.date.available 2022-04-29T12:57:58Z
dc.date.issued 2020
dc.identifier.citation Özarslan, Ramazan...et al. (2020). "Fractional physical problems including wind-influenced projectile motion with mittag-leffler kernel", AIMS Mathematics, Vol. 5, no. 1, pp. 467-481. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5461
dc.description.abstract In this manuscript the fractional form of wind-influenced projectile motion equations which have a significant place in physics is extensively investigated by preserving dimensionality of the physical quantities for fractional operators and features of wind-influenced projectile motion are computed analytically in view of Atangana-Baleanu (ABC) fractional derivative in Caputo sense. Moreover, ABC fractional derivative with (n + α)th-order and its Laplace transform (LT) are obtained, α ∈ [0, 1] and n ∈ ℕ. A comparative analysis based on the classical case is carried out in order to shed more light on the potent of the ABC fractional operator. Hence we present the results for some values of α, k friction constant, different wind effects and different masses in 3D illustrations by comparing Caputo fractional operator. Thus, we can observe trajectory, time of flight, maximum height and range clearly. Moreover, the obtained results are shown to correspond to the classical case while the order α → 1. © 2020 the Author(s), licensee AIMS Press. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2020031 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana-Baleanu Fractional Derivative tr_TR
dc.subject Drag tr_TR
dc.subject Fractional Model tr_TR
dc.subject Projectile Motion tr_TR
dc.subject Wind tr_TR
dc.title Fractional physical problems including wind-influenced projectile motion with mittag-leffler kernel tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 5 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 467 tr_TR
dc.identifier.endpage 481 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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