Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms

Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms

In this work, we examine the existence and nonexistence of solution for lam� wave equation with a nonlinear source terms and fractional boundary dissipation. By using the semi group theory approach, we prove the existence of a global solution. Furthermore, we established the blow-up results under th...

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Main Authors: Mezouar N., Boulaaras S., Jan R., Benramdane A., Bensaber F.
Other Authors: 57193545019
Format: Article
Published: Elsevier B.V. 2024
Subjects:
Blow-up
Fractional differential equation
Global existence
Lam� system
Mathematical operators
Partial differential equations
Control nonlinearities
Group theory
Nonlinear equations
Polynomials
Wave equations
Existence and non existences
Existence of Solutions
Fractional differential equations
Lame system
Lame waves
Nonexistence of solutions
Polynomial nonlinearities
Source terms
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Institution: Universiti Tenaga Nasional
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spelling my.uniten.dspace-338642024-10-14T11:17:21Z Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms Mezouar N. Boulaaras S. Jan R. Benramdane A. Bensaber F. 57193545019 36994353700 57205596279 57223256329 57780417100 Blow-up Fractional differential equation Global existence Lam� system Mathematical operators Partial differential equations Control nonlinearities Group theory Nonlinear equations Polynomials Wave equations Blow-up Existence and non existences Existence of Solutions Fractional differential equations Global existence Lame system Lame waves Nonexistence of solutions Polynomial nonlinearities Source terms Mathematical operators In this work, we examine the existence and nonexistence of solution for lam� wave equation with a nonlinear source terms and fractional boundary dissipation. By using the semi group theory approach, we prove the existence of a global solution. Furthermore, we established the blow-up results under the non-positive initial energy condition. � 2023 The Author(s) Final 2024-10-14T03:17:21Z 2024-10-14T03:17:21Z 2023 Article 10.1016/j.rinam.2023.100413 2-s2.0-85177481930 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85177481930&doi=10.1016%2fj.rinam.2023.100413&partnerID=40&md5=7762f36fc9258a791dec92a07eade7fe https://irepository.uniten.edu.my/handle/123456789/33864 20 100413 All Open Access Gold Open Access Elsevier B.V. Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic Blow-up
Fractional differential equation
Global existence
Lam� system
Mathematical operators
Partial differential equations
Control nonlinearities
Group theory
Nonlinear equations
Polynomials
Wave equations
Blow-up
Existence and non existences
Existence of Solutions
Fractional differential equations
Global existence
Lame system
Lame waves
Nonexistence of solutions
Polynomial nonlinearities
Source terms
Mathematical operators
spellingShingle Blow-up
Fractional differential equation
Global existence
Lam� system
Mathematical operators
Partial differential equations
Control nonlinearities
Group theory
Nonlinear equations
Polynomials
Wave equations
Blow-up
Existence and non existences
Existence of Solutions
Fractional differential equations
Global existence
Lame system
Lame waves
Nonexistence of solutions
Polynomial nonlinearities
Source terms
Mathematical operators
Mezouar N.
Boulaaras S.
Jan R.
Benramdane A.
Bensaber F.
Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
description In this work, we examine the existence and nonexistence of solution for lam� wave equation with a nonlinear source terms and fractional boundary dissipation. By using the semi group theory approach, we prove the existence of a global solution. Furthermore, we established the blow-up results under the non-positive initial energy condition. � 2023 The Author(s)
author2 57193545019
author_facet 57193545019
Mezouar N.
Boulaaras S.
Jan R.
Benramdane A.
Bensaber F.
format Article
author Mezouar N.
Boulaaras S.
Jan R.
Benramdane A.
Bensaber F.
author_sort Mezouar N.
title Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
title_short Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
title_full Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
title_fullStr Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
title_full_unstemmed Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
title_sort existence and nonexistence of solution of fractional lam� wave equation with polynomial nonlinearity source terms
publisher Elsevier B.V.
publishDate 2024
_version_ 1814061156853088256

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