Atomic Solution for Certain Gardner Equation

In this paper, a new technique using a tensor product is presented in order to provide exact solutions to some certain fractional differential equations. Particularly, the well-known third order Gardner’s equation, which is also known in some contexts as KdV-mKdV, of the fractional type. This type o...
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Autor*in:	Mohammad Al-Khaleel [verfasserIn] Sharifa Al-Sharif [verfasserIn] Ameerah AlJarrah [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	inverse problems Gardner’s equation tensor product of Banach spaces

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 15(2023), 2, p 440
Übergeordnetes Werk:	volume:15 ; year:2023 ; number:2, p 440

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym15020440

Katalog-ID:	DOAJ079962858

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callnumber-first	Q - Science
author	Mohammad Al-Khaleel
spellingShingle	Mohammad Al-Khaleel misc QA1-939 misc inverse problems misc Gardner’s equation misc tensor product of Banach spaces misc Mathematics Atomic Solution for Certain Gardner Equation
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topic_title	QA1-939 Atomic Solution for Certain Gardner Equation inverse problems Gardner’s equation tensor product of Banach spaces
topic	misc QA1-939 misc inverse problems misc Gardner’s equation misc tensor product of Banach spaces misc Mathematics
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title	Atomic Solution for Certain Gardner Equation
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title_auth	Atomic Solution for Certain Gardner Equation
abstract	In this paper, a new technique using a tensor product is presented in order to provide exact solutions to some certain fractional differential equations. Particularly, the well-known third order Gardner’s equation, which is also known in some contexts as KdV-mKdV, of the fractional type. This type of equations plays an important role in modeling many symmetric and asymmetric problems. Moreover, the existence of an atomic solution using a tensor product technique for certain second order equations has been proved.
abstractGer	In this paper, a new technique using a tensor product is presented in order to provide exact solutions to some certain fractional differential equations. Particularly, the well-known third order Gardner’s equation, which is also known in some contexts as KdV-mKdV, of the fractional type. This type of equations plays an important role in modeling many symmetric and asymmetric problems. Moreover, the existence of an atomic solution using a tensor product technique for certain second order equations has been proved.
abstract_unstemmed	In this paper, a new technique using a tensor product is presented in order to provide exact solutions to some certain fractional differential equations. Particularly, the well-known third order Gardner’s equation, which is also known in some contexts as KdV-mKdV, of the fractional type. This type of equations plays an important role in modeling many symmetric and asymmetric problems. Moreover, the existence of an atomic solution using a tensor product technique for certain second order equations has been proved.
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title_short	Atomic Solution for Certain Gardner Equation
url	https://doi.org/10.3390/sym15020440 https://doaj.org/article/25cf01a678e14c1aa924c757d9f64b0f https://www.mdpi.com/2073-8994/15/2/440 https://doaj.org/toc/2073-8994
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