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Results on a nonlinear wave equation with acoustic and fractional boundary conditions coupling by logarithmic source and delay terms: Global existence and asymptotic behavior of solutions

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dc.citedby0
dc.contributor.authorChoucha A.en_US
dc.contributor.authorBoulaaras S.en_US
dc.contributor.authorYazid F.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorMekawy I.en_US
dc.contributor.authorid57216493937en_US
dc.contributor.authorid36994353700en_US
dc.contributor.authorid57218386442en_US
dc.contributor.authorid57205596279en_US
dc.contributor.authorid57222488593en_US
dc.date.accessioned2025-03-03T07:41:46Z
dc.date.available2025-03-03T07:41:46Z
dc.date.issued2024
dc.description.abstractThe nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is notable for its capacity to model complex systems, contribute to the advancement of mathematical theory, and exhibit wide-ranging applicability to real-world problems. This paper investigates the global existence and general decay of solutions to a wave equation characterized by the inclusion of logarithmic source and delay terms, governed by both fractional and acoustic boundary conditions. The global existence of solutions is analyzed under various hypotheses, and the general decay behavior is established through the construction and application of a suitable Lyapunov function. ? 2024 The Authorsen_US
dc.description.natureFinalen_US
dc.identifier.ArtNo100515
dc.identifier.doi10.1016/j.rinam.2024.100515
dc.identifier.scopus2-s2.0-85208760188
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85208760188&doi=10.1016%2fj.rinam.2024.100515&partnerID=40&md5=eb957d10e30f1ea1ca1c617c370ea761
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36274
dc.identifier.volume24
dc.publisherElsevier B.V.en_US
dc.sourceScopus
dc.sourcetitleResults in Applied Mathematics
dc.subjectBoundary conditions
dc.subjectNonlinear equations
dc.subjectWave equations
dc.subjectBoundary dissipations
dc.subjectFractional boundary conditions
dc.subjectFractional boundary dissipation
dc.subjectGeneral decay
dc.subjectGlobal asymptotics
dc.subjectGlobal existence
dc.subjectLogarithmic source
dc.subjectLyapunov's functions
dc.subjectNonlinear waves equation
dc.subjectPartial differential
dc.subjectLyapunov functions
dc.titleResults on a nonlinear wave equation with acoustic and fractional boundary conditions coupling by logarithmic source and delay terms: Global existence and asymptotic behavior of solutionsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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