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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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id	my.uniten.dspace-33864
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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
score	13.222552

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

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