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A New Glance on the Leibniz Rule for Fractional Derivatives

dc.contributor.author Machado, J. Tenreiro
dc.contributor.author Baleanu, D.
dc.contributor.author Sayevand, K.
dc.date.accessioned 2020-03-26T12:32:49Z
dc.date.accessioned 2025-09-18T12:06:22Z
dc.date.available 2020-03-26T12:32:49Z
dc.date.available 2025-09-18T12:06:22Z
dc.date.issued 2018
dc.description Tenreiro Machado, J. A./0000-0003-4274-4879 en_US
dc.description.abstract This paper proposes a new strategy to study some useful properties of growth rates of functions in C-alpha is an element of R spaces in order to analyze the Leibniz rule for fractional derivatives. The differential operators are taken in the Riemann-Liouville sense. Moreover, stability analysis of the proposed strategy is investigated. The results demonstrate that the proposed theoretical analysis is accurate. (C) 2018 Elsevier B.V. All rights reserved. en_US
dc.identifier.citation Sayevand, K.; Machado, J. Tenreiro; Baleanu, D. "A new glance on the Leibniz rule for fractional derivatives", Communications In Nonlinear Science and Numerical Simulation, Vol. 62, pp. 244-249, (2018) en_US
dc.identifier.doi 10.1016/j.cnsns.2018.02.037
dc.identifier.issn 1007-5704
dc.identifier.issn 1878-7274
dc.identifier.scopus 2-s2.0-85042862920
dc.identifier.uri https://doi.org/10.1016/j.cnsns.2018.02.037
dc.identifier.uri https://hdl.handle.net/20.500.12416/10876
dc.language.iso en en_US
dc.publisher Elsevier Science Bv en_US
dc.relation.ispartof Communications in Nonlinear Science and Numerical Simulation
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Fractional Calculus en_US
dc.subject Leibniz Rule en_US
dc.subject Mittag-Leffler Function en_US
dc.subject Riemann-Liouville en_US
dc.subject Fractional Derivative en_US
dc.title A New Glance on the Leibniz Rule for Fractional Derivatives en_US
dc.title A New Glance On the Leibniz Rule for Fractional Derivatives tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Tenreiro Machado, J. A./0000-0003-4274-4879
gdc.author.scopusid 24465653900
gdc.author.scopusid 55989030100
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Tenreiro Machado, J. A./M-2173-2013
gdc.author.yokid 56389
gdc.bip.impulseclass C4
gdc.bip.influenceclass C5
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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 [Sayevand, K.] Malayer Univ, Fac Math Sci, Malayer, Iran; [Machado, J. Tenreiro] Polytech Porto, Dept Elect Engn, Inst Engn, Porto, Portugal; [Baleanu, D.] Cankaya Univ, Fac Art & Sci, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, MG-23, R-76900 Bucharest, Romania en_US
gdc.description.endpage 249 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 244 en_US
gdc.description.volume 62 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W2793598729
gdc.identifier.wos WOS:000429332800017
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gdc.index.type Scopus
gdc.oaire.diamondjournal false
gdc.oaire.impulse 5.0
gdc.oaire.influence 3.0675635E-9
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gdc.oaire.keywords Riemann-Liouville
gdc.oaire.keywords Mittag-Leffler function
gdc.oaire.keywords fractional derivative
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Variational principles of physics
gdc.oaire.keywords fractional calculus
gdc.oaire.keywords Leibniz rule
gdc.oaire.popularity 5.121948E-9
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
gdc.openalex.collaboration International
gdc.openalex.fwci 1.63920405
gdc.openalex.normalizedpercentile 0.82
gdc.opencitations.count 9
gdc.plumx.crossrefcites 6
gdc.plumx.mendeley 14
gdc.plumx.scopuscites 11
gdc.publishedmonth 9
gdc.scopus.citedcount 11
gdc.virtual.author Baleanu, Dumitru
gdc.wos.citedcount 9
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