The exact solutions of the stochastic fractional-space Allen–Cahn equation

The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise. The exact solutions to this equation are required since it appears in many discipline areas including plasma physics...
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Autor*in:	Albosaily Sahar [verfasserIn] Mohammed Wael W. [verfasserIn] Hamza Amjad E. [verfasserIn] El-Morshedy Mahmoud [verfasserIn] Ahmad Hijaz [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	stochastic allen–cahn equation fractional-space allen–cahn equation tanh–coth method

Übergeordnetes Werk:	In: Open Physics - De Gruyter, 2015, 20(2022), 1, Seite 23-29
Übergeordnetes Werk:	volume:20 ; year:2022 ; number:1 ; pages:23-29

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1515/phys-2022-0002

Katalog-ID:	DOAJ022123857

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allfieldsGer	10.1515/phys-2022-0002 doi (DE-627)DOAJ022123857 (DE-599)DOAJaeb60c4d262549b49b9a7a349aeb1ba5 DE-627 ger DE-627 rakwb eng QC1-999 Albosaily Sahar verfasserin aut The exact solutions of the stochastic fractional-space Allen–Cahn equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise. The exact solutions to this equation are required since it appears in many discipline areas including plasma physics, quantum mechanics and mathematical biology. The tanh–coth method is used to generate new hyperbolic and trigonometric stochastic and fractional solutions. The originality of this study is that the results produced here expand and improve on previously obtained results. Furthermore, we use Matlab package to display 3D surfaces of analytical solutions derived in this study to demonstrate the effect of stochastic term on the solutions of the stochastic-fractional-space Allen–Cahn equation. stochastic allen–cahn equation fractional-space allen–cahn equation tanh–coth method Physics Mohammed Wael W. verfasserin aut Hamza Amjad E. verfasserin aut El-Morshedy Mahmoud verfasserin aut Ahmad Hijaz verfasserin aut In Open Physics De Gruyter, 2015 20(2022), 1, Seite 23-29 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:20 year:2022 number:1 pages:23-29 https://doi.org/10.1515/phys-2022-0002 kostenfrei https://doaj.org/article/aeb60c4d262549b49b9a7a349aeb1ba5 kostenfrei https://doi.org/10.1515/phys-2022-0002 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2022 1 23-29
allfieldsSound	10.1515/phys-2022-0002 doi (DE-627)DOAJ022123857 (DE-599)DOAJaeb60c4d262549b49b9a7a349aeb1ba5 DE-627 ger DE-627 rakwb eng QC1-999 Albosaily Sahar verfasserin aut The exact solutions of the stochastic fractional-space Allen–Cahn equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise. The exact solutions to this equation are required since it appears in many discipline areas including plasma physics, quantum mechanics and mathematical biology. The tanh–coth method is used to generate new hyperbolic and trigonometric stochastic and fractional solutions. The originality of this study is that the results produced here expand and improve on previously obtained results. Furthermore, we use Matlab package to display 3D surfaces of analytical solutions derived in this study to demonstrate the effect of stochastic term on the solutions of the stochastic-fractional-space Allen–Cahn equation. stochastic allen–cahn equation fractional-space allen–cahn equation tanh–coth method Physics Mohammed Wael W. verfasserin aut Hamza Amjad E. verfasserin aut El-Morshedy Mahmoud verfasserin aut Ahmad Hijaz verfasserin aut In Open Physics De Gruyter, 2015 20(2022), 1, Seite 23-29 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:20 year:2022 number:1 pages:23-29 https://doi.org/10.1515/phys-2022-0002 kostenfrei https://doaj.org/article/aeb60c4d262549b49b9a7a349aeb1ba5 kostenfrei https://doi.org/10.1515/phys-2022-0002 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2022 1 23-29
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topic_facet	stochastic allen–cahn equation fractional-space allen–cahn equation tanh–coth method Physics
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callnumber-first	Q - Science
author	Albosaily Sahar
spellingShingle	Albosaily Sahar misc QC1-999 misc stochastic allen–cahn equation misc fractional-space allen–cahn equation misc tanh–coth method misc Physics The exact solutions of the stochastic fractional-space Allen–Cahn equation
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topic_title	QC1-999 The exact solutions of the stochastic fractional-space Allen–Cahn equation stochastic allen–cahn equation fractional-space allen–cahn equation tanh–coth method
topic	misc QC1-999 misc stochastic allen–cahn equation misc fractional-space allen–cahn equation misc tanh–coth method misc Physics
topic_unstemmed	misc QC1-999 misc stochastic allen–cahn equation misc fractional-space allen–cahn equation misc tanh–coth method misc Physics
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title	The exact solutions of the stochastic fractional-space Allen–Cahn equation
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title_full	The exact solutions of the stochastic fractional-space Allen–Cahn equation
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title_sort	exact solutions of the stochastic fractional-space allen–cahn equation
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title_auth	The exact solutions of the stochastic fractional-space Allen–Cahn equation
abstract	The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise. The exact solutions to this equation are required since it appears in many discipline areas including plasma physics, quantum mechanics and mathematical biology. The tanh–coth method is used to generate new hyperbolic and trigonometric stochastic and fractional solutions. The originality of this study is that the results produced here expand and improve on previously obtained results. Furthermore, we use Matlab package to display 3D surfaces of analytical solutions derived in this study to demonstrate the effect of stochastic term on the solutions of the stochastic-fractional-space Allen–Cahn equation.
abstractGer	The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise. The exact solutions to this equation are required since it appears in many discipline areas including plasma physics, quantum mechanics and mathematical biology. The tanh–coth method is used to generate new hyperbolic and trigonometric stochastic and fractional solutions. The originality of this study is that the results produced here expand and improve on previously obtained results. Furthermore, we use Matlab package to display 3D surfaces of analytical solutions derived in this study to demonstrate the effect of stochastic term on the solutions of the stochastic-fractional-space Allen–Cahn equation.
abstract_unstemmed	The fundamental objective of this article is to find exact solutions to the stochastic fractional-space Allen–Cahn equation, which is derived in the Itô sense by multiplicative noise. The exact solutions to this equation are required since it appears in many discipline areas including plasma physics, quantum mechanics and mathematical biology. The tanh–coth method is used to generate new hyperbolic and trigonometric stochastic and fractional solutions. The originality of this study is that the results produced here expand and improve on previously obtained results. Furthermore, we use Matlab package to display 3D surfaces of analytical solutions derived in this study to demonstrate the effect of stochastic term on the solutions of the stochastic-fractional-space Allen–Cahn equation.
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The exact solutions of the stochastic fractional-space Allen–Cahn equation

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Zugang & Verfügbarkeit

Vorhandene Bände

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