Periodic solution of fractal Phi-4 equation

This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is completely changed, He’s frequency formulation provides with a u...
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Autor*in:	Liu Caixia [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	fractal calculus periodic solution solitary wave duffing oscillator two-scale mathematics

Übergeordnetes Werk:	In: Thermal Science - VINCA Institute of Nuclear Sciences, 2006, 25(2021), 2 Part B, Seite 1345-1350
Übergeordnetes Werk:	volume:25 ; year:2021 ; number:2 Part B ; pages:1345-1350

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.2298/TSCI200502032L

Katalog-ID:	DOAJ057079668

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spelling	10.2298/TSCI200502032L doi (DE-627)DOAJ057079668 (DE-599)DOAJ055881a8da2a4138bc2bad6f507ec824 DE-627 ger DE-627 rakwb eng TJ1-1570 Liu Caixia verfasserin aut Periodic solution of fractal Phi-4 equation 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is completely changed, He’s frequency formulation provides with a universal tool to having a deep insight into the periodic property of the fractal Phi-4 equation. The two-scale transform is used to convert approximately the fractal Phi-4 equation a differential model, and a criterion is suggested for the existence of a periodic solution of the equation, the effect of fractal orders on the periodic property is also elucidated. fractal calculus periodic solution solitary wave duffing oscillator two-scale mathematics Mechanical engineering and machinery In Thermal Science VINCA Institute of Nuclear Sciences, 2006 25(2021), 2 Part B, Seite 1345-1350 (DE-627)514240016 (DE-600)2241319-4 23347163 nnns volume:25 year:2021 number:2 Part B pages:1345-1350 https://doi.org/10.2298/TSCI200502032L kostenfrei https://doaj.org/article/055881a8da2a4138bc2bad6f507ec824 kostenfrei http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100032L.pdf kostenfrei https://doaj.org/toc/0354-9836 Journal toc kostenfrei https://doaj.org/toc/2334-7163 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_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2190 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 25 2021 2 Part B 1345-1350
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callnumber-first	T - Technology
author	Liu Caixia
spellingShingle	Liu Caixia misc TJ1-1570 misc fractal calculus misc periodic solution misc solitary wave misc duffing oscillator misc two-scale mathematics misc Mechanical engineering and machinery Periodic solution of fractal Phi-4 equation
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topic_title	TJ1-1570 Periodic solution of fractal Phi-4 equation fractal calculus periodic solution solitary wave duffing oscillator two-scale mathematics
topic	misc TJ1-1570 misc fractal calculus misc periodic solution misc solitary wave misc duffing oscillator misc two-scale mathematics misc Mechanical engineering and machinery
topic_unstemmed	misc TJ1-1570 misc fractal calculus misc periodic solution misc solitary wave misc duffing oscillator misc two-scale mathematics misc Mechanical engineering and machinery
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title	Periodic solution of fractal Phi-4 equation
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title_full	Periodic solution of fractal Phi-4 equation
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title_sort	periodic solution of fractal phi-4 equation
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title_auth	Periodic solution of fractal Phi-4 equation
abstract	This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is completely changed, He’s frequency formulation provides with a universal tool to having a deep insight into the periodic property of the fractal Phi-4 equation. The two-scale transform is used to convert approximately the fractal Phi-4 equation a differential model, and a criterion is suggested for the existence of a periodic solution of the equation, the effect of fractal orders on the periodic property is also elucidated.
abstractGer	This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is completely changed, He’s frequency formulation provides with a universal tool to having a deep insight into the periodic property of the fractal Phi-4 equation. The two-scale transform is used to convert approximately the fractal Phi-4 equation a differential model, and a criterion is suggested for the existence of a periodic solution of the equation, the effect of fractal orders on the periodic property is also elucidated.
abstract_unstemmed	This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is completely changed, He’s frequency formulation provides with a universal tool to having a deep insight into the periodic property of the fractal Phi-4 equation. The two-scale transform is used to convert approximately the fractal Phi-4 equation a differential model, and a criterion is suggested for the existence of a periodic solution of the equation, the effect of fractal orders on the periodic property is also elucidated.
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container_issue	2 Part B
title_short	Periodic solution of fractal Phi-4 equation
url	https://doi.org/10.2298/TSCI200502032L https://doaj.org/article/055881a8da2a4138bc2bad6f507ec824 http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100032L.pdf https://doaj.org/toc/0354-9836 https://doaj.org/toc/2334-7163
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Periodic solution of fractal Phi-4 equation

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