Stability analysis of fractional differential equations with unknown parameters

In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries ar...
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Autor*in:	Mehmet Emir Koksal [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	stability fractional differential equations fractional derivative unknown parameters parametric analysis

Übergeordnetes Werk:	In: Nonlinear Analysis - Vilnius University Press, 2019, 24(2019), 2
Übergeordnetes Werk:	volume:24 ; year:2019 ; number:2

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

DOI / URN:	10.15388/NA.2019.2.5

Katalog-ID:	DOAJ04953856X

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spelling	10.15388/NA.2019.2.5 doi (DE-627)DOAJ04953856X (DE-599)DOAJc64e4322c9954e9e90a71203fc853345 DE-627 ger DE-627 rakwb eng QA299.6-433 Mehmet Emir Koksal verfasserin aut Stability analysis of fractional differential equations with unknown parameters 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries are obtained firstly by a conformal mapping from s-plane to parameter space composed by unknown parameters of FDEs, and then the stability region set depending on the unknown parameters is found. The applicability of the presented method is shown considering some benchmark equations, which are often used to verify the results of a new method. Simulation examples show that the method is simple and give reliable stability results. stability fractional differential equations fractional derivative unknown parameters parametric analysis Analysis In Nonlinear Analysis Vilnius University Press, 2019 24(2019), 2 (DE-627)656866489 (DE-600)2604540-0 23358963 nnns volume:24 year:2019 number:2 https://doi.org/10.15388/NA.2019.2.5 kostenfrei https://doaj.org/article/c64e4322c9954e9e90a71203fc853345 kostenfrei http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12899 kostenfrei https://doaj.org/toc/1392-5113 Journal toc kostenfrei https://doaj.org/toc/2335-8963 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 24 2019 2
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allfieldsGer	10.15388/NA.2019.2.5 doi (DE-627)DOAJ04953856X (DE-599)DOAJc64e4322c9954e9e90a71203fc853345 DE-627 ger DE-627 rakwb eng QA299.6-433 Mehmet Emir Koksal verfasserin aut Stability analysis of fractional differential equations with unknown parameters 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries are obtained firstly by a conformal mapping from s-plane to parameter space composed by unknown parameters of FDEs, and then the stability region set depending on the unknown parameters is found. The applicability of the presented method is shown considering some benchmark equations, which are often used to verify the results of a new method. Simulation examples show that the method is simple and give reliable stability results. stability fractional differential equations fractional derivative unknown parameters parametric analysis Analysis In Nonlinear Analysis Vilnius University Press, 2019 24(2019), 2 (DE-627)656866489 (DE-600)2604540-0 23358963 nnns volume:24 year:2019 number:2 https://doi.org/10.15388/NA.2019.2.5 kostenfrei https://doaj.org/article/c64e4322c9954e9e90a71203fc853345 kostenfrei http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12899 kostenfrei https://doaj.org/toc/1392-5113 Journal toc kostenfrei https://doaj.org/toc/2335-8963 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 24 2019 2
allfieldsSound	10.15388/NA.2019.2.5 doi (DE-627)DOAJ04953856X (DE-599)DOAJc64e4322c9954e9e90a71203fc853345 DE-627 ger DE-627 rakwb eng QA299.6-433 Mehmet Emir Koksal verfasserin aut Stability analysis of fractional differential equations with unknown parameters 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries are obtained firstly by a conformal mapping from s-plane to parameter space composed by unknown parameters of FDEs, and then the stability region set depending on the unknown parameters is found. The applicability of the presented method is shown considering some benchmark equations, which are often used to verify the results of a new method. Simulation examples show that the method is simple and give reliable stability results. stability fractional differential equations fractional derivative unknown parameters parametric analysis Analysis In Nonlinear Analysis Vilnius University Press, 2019 24(2019), 2 (DE-627)656866489 (DE-600)2604540-0 23358963 nnns volume:24 year:2019 number:2 https://doi.org/10.15388/NA.2019.2.5 kostenfrei https://doaj.org/article/c64e4322c9954e9e90a71203fc853345 kostenfrei http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12899 kostenfrei https://doaj.org/toc/1392-5113 Journal toc kostenfrei https://doaj.org/toc/2335-8963 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 24 2019 2
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callnumber-first	Q - Science
author	Mehmet Emir Koksal
spellingShingle	Mehmet Emir Koksal misc QA299.6-433 misc stability misc fractional differential equations misc fractional derivative misc unknown parameters misc parametric analysis misc Analysis Stability analysis of fractional differential equations with unknown parameters
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topic_title	QA299.6-433 Stability analysis of fractional differential equations with unknown parameters stability fractional differential equations fractional derivative unknown parameters parametric analysis
topic	misc QA299.6-433 misc stability misc fractional differential equations misc fractional derivative misc unknown parameters misc parametric analysis misc Analysis
topic_unstemmed	misc QA299.6-433 misc stability misc fractional differential equations misc fractional derivative misc unknown parameters misc parametric analysis misc Analysis
topic_browse	misc QA299.6-433 misc stability misc fractional differential equations misc fractional derivative misc unknown parameters misc parametric analysis misc Analysis
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title	Stability analysis of fractional differential equations with unknown parameters
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title_full	Stability analysis of fractional differential equations with unknown parameters
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title_sort	stability analysis of fractional differential equations with unknown parameters
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title_auth	Stability analysis of fractional differential equations with unknown parameters
abstract	In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries are obtained firstly by a conformal mapping from s-plane to parameter space composed by unknown parameters of FDEs, and then the stability region set depending on the unknown parameters is found. The applicability of the presented method is shown considering some benchmark equations, which are often used to verify the results of a new method. Simulation examples show that the method is simple and give reliable stability results.
abstractGer	In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries are obtained firstly by a conformal mapping from s-plane to parameter space composed by unknown parameters of FDEs, and then the stability region set depending on the unknown parameters is found. The applicability of the presented method is shown considering some benchmark equations, which are often used to verify the results of a new method. Simulation examples show that the method is simple and give reliable stability results.
abstract_unstemmed	In this paper, the stability of fractional differential equations (FDEs) with unknown parameters is studied. Using the graphical based D-decomposition method, the parametric stability analysis of FDEs is investigated without complicated mathematical analysis. To achieve this, stability boundaries are obtained firstly by a conformal mapping from s-plane to parameter space composed by unknown parameters of FDEs, and then the stability region set depending on the unknown parameters is found. The applicability of the presented method is shown considering some benchmark equations, which are often used to verify the results of a new method. Simulation examples show that the method is simple and give reliable stability results.
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