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Theorems on Some Families of Fractional Differential Equations and Their Applications

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dc.contributor.authorsBozkurt, Guelcin; Albayrak, Durmus; Dernek, Nese
dc.date.accessioned2022-03-12T22:29:14Z
dc.date.available2022-03-12T22:29:14Z
dc.date.issued2019
dc.description.abstractWe use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration equation with fractional damping and the Bagley-Torvik equation.
dc.identifier.doi10.21136/AM.2019.0031-19
dc.identifier.eissn1572-9109
dc.identifier.issn0862-7940
dc.identifier.urihttps://hdl.handle.net/11424/235363
dc.identifier.wosWOS:000491496200004
dc.language.isoeng
dc.publisherACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
dc.relation.ispartofAPPLICATIONS OF MATHEMATICS
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectfractional calculus
dc.subjectfractional differential equation
dc.subjectCaputo derivative
dc.subjectLaplace transform
dc.titleTheorems on Some Families of Fractional Differential Equations and Their Applications
dc.typearticle
dspace.entity.typePublication
local.avesis.id8790a64c-ad49-4d54-9072-ad6beaa7ce5d
local.import.packageSS17
local.indexed.atWOS
local.indexed.atSCOPUS
local.journal.numberofpages23
local.journal.quartileQ4
oaire.citation.endPage579
oaire.citation.issue5
oaire.citation.startPage557
oaire.citation.titleAPPLICATIONS OF MATHEMATICS
oaire.citation.volume64

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