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
The 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. Th...
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my.uniten.dspace-362742025-03-03T15:41:46Z 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 Choucha A. Boulaaras S. Yazid F. Jan R. Mekawy I. 57216493937 36994353700 57218386442 57205596279 57222488593 Boundary conditions Nonlinear equations Wave equations Boundary dissipations Fractional boundary conditions Fractional boundary dissipation General decay Global asymptotics Global existence Logarithmic source Lyapunov's functions Nonlinear waves equation Partial differential Lyapunov functions The 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 Authors Final 2025-03-03T07:41:46Z 2025-03-03T07:41:46Z 2024 Article 10.1016/j.rinam.2024.100515 2-s2.0-85208760188 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85208760188&doi=10.1016%2fj.rinam.2024.100515&partnerID=40&md5=eb957d10e30f1ea1ca1c617c370ea761 https://irepository.uniten.edu.my/handle/123456789/36274 24 100515 Elsevier B.V. Scopus |
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Boundary conditions Nonlinear equations Wave equations Boundary dissipations Fractional boundary conditions Fractional boundary dissipation General decay Global asymptotics Global existence Logarithmic source Lyapunov's functions Nonlinear waves equation Partial differential Lyapunov functions |
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Boundary conditions Nonlinear equations Wave equations Boundary dissipations Fractional boundary conditions Fractional boundary dissipation General decay Global asymptotics Global existence Logarithmic source Lyapunov's functions Nonlinear waves equation Partial differential Lyapunov functions Choucha A. Boulaaras S. Yazid F. Jan R. Mekawy I. 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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The 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 Authors |
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57216493937 |
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57216493937 Choucha A. Boulaaras S. Yazid F. Jan R. Mekawy I. |
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Article |
| author |
Choucha A. Boulaaras S. Yazid F. Jan R. Mekawy I. |
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Choucha A. |
| title |
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 |
| title_short |
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 |
| title_full |
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 |
| title_fullStr |
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 |
| title_full_unstemmed |
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 |
| title_sort |
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 |
| publisher |
Elsevier B.V. |
| publishDate |
2025 |
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1825816057449807872 |
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13.244413 |