Fractional Bateman-Feshbach Tikochinsky Oscillator

In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in theoretical physics 2014-02, Vol.61 (2), p.221-225
Hauptverfasser: Baleanu, Dumitru, Asad, Jihad H., Petras, Ivo
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 225
container_issue 2
container_start_page 221
container_title Communications in theoretical physics
container_volume 61
creator Baleanu, Dumitru
Asad, Jihad H.
Petras, Ivo
description In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractionaJ Euler-Lagrange equations is given within the Griinwald-Letnikov approach, which is power series expansion of the generating function.
doi_str_mv 10.1088/0253-6102/61/2/13
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1744693783</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>48710552</cqvip_id><sourcerecordid>1744693783</sourcerecordid><originalsourceid>FETCH-LOGICAL-c304t-32fb8ae89bb0f2a7ac87f9be994367e7bff33724b3c4a269db467ac92dbd165b3</originalsourceid><addsrcrecordid>eNo9kD1PwzAQhi0EEqXwA9jKxhLir_hjhIoAUqUuZbZs125M07i106H_nkStutwN9zynew-AZwTfEBSihLgiBUMQlwyVuETkBkxQxXEhqaS3YHKd34OHnP8ghJgzNAG4Ttr2IXa6nX3o3u10V9QuN0bbZrYK22ib0OXtabbMNrSt7mN6BHdet9k9XfoU_Nafq_l3sVh-_czfF4UlkPYFwd4I7YQ0BnqsubaCe2mclJQw7rjxnhCOqSGWaszk2lA2QBKvzRqxypApeD3v3ad4OLrcq13I1g1HdC4es0KcUiYJF2RA0Rm1KeacnFf7FHY6nRSCavyPGvOrMf9QFFZodF4uThO7zSF0m6tEBUewqjD5B5TqYys</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1744693783</pqid></control><display><type>article</type><title>Fractional Bateman-Feshbach Tikochinsky Oscillator</title><source>Institute of Physics Journals</source><source>Alma/SFX Local Collection</source><creator>Baleanu, Dumitru ; Asad, Jihad H. ; Petras, Ivo</creator><creatorcontrib>Baleanu, Dumitru ; Asad, Jihad H. ; Petras, Ivo</creatorcontrib><description>In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractionaJ Euler-Lagrange equations is given within the Griinwald-Letnikov approach, which is power series expansion of the generating function.</description><identifier>ISSN: 0253-6102</identifier><identifier>EISSN: 1572-9494</identifier><identifier>DOI: 10.1088/0253-6102/61/2/13</identifier><language>eng</language><subject>Differential equations ; Mathematical analysis ; Mathematical models ; Numerical analysis ; Oscillators ; Power series ; Theoretical physics ; 分数阶微分方程 ; 幂级数展开 ; 拉格朗日方程 ; 振荡器 ; 数值分析 ; 数值方法 ; 现实世界 ; 贝特</subject><ispartof>Communications in theoretical physics, 2014-02, Vol.61 (2), p.221-225</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c304t-32fb8ae89bb0f2a7ac87f9be994367e7bff33724b3c4a269db467ac92dbd165b3</citedby><cites>FETCH-LOGICAL-c304t-32fb8ae89bb0f2a7ac87f9be994367e7bff33724b3c4a269db467ac92dbd165b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/83837X/83837X.jpg</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Baleanu, Dumitru</creatorcontrib><creatorcontrib>Asad, Jihad H.</creatorcontrib><creatorcontrib>Petras, Ivo</creatorcontrib><title>Fractional Bateman-Feshbach Tikochinsky Oscillator</title><title>Communications in theoretical physics</title><addtitle>Communications in Theoretical Physics</addtitle><description>In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractionaJ Euler-Lagrange equations is given within the Griinwald-Letnikov approach, which is power series expansion of the generating function.</description><subject>Differential equations</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Numerical analysis</subject><subject>Oscillators</subject><subject>Power series</subject><subject>Theoretical physics</subject><subject>分数阶微分方程</subject><subject>幂级数展开</subject><subject>拉格朗日方程</subject><subject>振荡器</subject><subject>数值分析</subject><subject>数值方法</subject><subject>现实世界</subject><subject>贝特</subject><issn>0253-6102</issn><issn>1572-9494</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNo9kD1PwzAQhi0EEqXwA9jKxhLir_hjhIoAUqUuZbZs125M07i106H_nkStutwN9zynew-AZwTfEBSihLgiBUMQlwyVuETkBkxQxXEhqaS3YHKd34OHnP8ghJgzNAG4Ttr2IXa6nX3o3u10V9QuN0bbZrYK22ib0OXtabbMNrSt7mN6BHdet9k9XfoU_Nafq_l3sVh-_czfF4UlkPYFwd4I7YQ0BnqsubaCe2mclJQw7rjxnhCOqSGWaszk2lA2QBKvzRqxypApeD3v3ad4OLrcq13I1g1HdC4es0KcUiYJF2RA0Rm1KeacnFf7FHY6nRSCavyPGvOrMf9QFFZodF4uThO7zSF0m6tEBUewqjD5B5TqYys</recordid><startdate>20140201</startdate><enddate>20140201</enddate><creator>Baleanu, Dumitru</creator><creator>Asad, Jihad H.</creator><creator>Petras, Ivo</creator><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20140201</creationdate><title>Fractional Bateman-Feshbach Tikochinsky Oscillator</title><author>Baleanu, Dumitru ; Asad, Jihad H. ; Petras, Ivo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c304t-32fb8ae89bb0f2a7ac87f9be994367e7bff33724b3c4a269db467ac92dbd165b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Differential equations</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Numerical analysis</topic><topic>Oscillators</topic><topic>Power series</topic><topic>Theoretical physics</topic><topic>分数阶微分方程</topic><topic>幂级数展开</topic><topic>拉格朗日方程</topic><topic>振荡器</topic><topic>数值分析</topic><topic>数值方法</topic><topic>现实世界</topic><topic>贝特</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Baleanu, Dumitru</creatorcontrib><creatorcontrib>Asad, Jihad H.</creatorcontrib><creatorcontrib>Petras, Ivo</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Communications in theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Baleanu, Dumitru</au><au>Asad, Jihad H.</au><au>Petras, Ivo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional Bateman-Feshbach Tikochinsky Oscillator</atitle><jtitle>Communications in theoretical physics</jtitle><addtitle>Communications in Theoretical Physics</addtitle><date>2014-02-01</date><risdate>2014</risdate><volume>61</volume><issue>2</issue><spage>221</spage><epage>225</epage><pages>221-225</pages><issn>0253-6102</issn><eissn>1572-9494</eissn><abstract>In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractionaJ Euler-Lagrange equations is given within the Griinwald-Letnikov approach, which is power series expansion of the generating function.</abstract><doi>10.1088/0253-6102/61/2/13</doi><tpages>5</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0253-6102
ispartof Communications in theoretical physics, 2014-02, Vol.61 (2), p.221-225
issn 0253-6102
1572-9494
language eng
recordid cdi_proquest_miscellaneous_1744693783
source Institute of Physics Journals; Alma/SFX Local Collection
subjects Differential equations
Mathematical analysis
Mathematical models
Numerical analysis
Oscillators
Power series
Theoretical physics
分数阶微分方程
幂级数展开
拉格朗日方程
振荡器
数值分析
数值方法
现实世界
贝特
title Fractional Bateman-Feshbach Tikochinsky Oscillator
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T21%3A42%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Fractional%20Bateman-Feshbach%20Tikochinsky%20Oscillator&rft.jtitle=Communications%20in%20theoretical%20physics&rft.au=Baleanu,%20Dumitru&rft.date=2014-02-01&rft.volume=61&rft.issue=2&rft.spage=221&rft.epage=225&rft.pages=221-225&rft.issn=0253-6102&rft.eissn=1572-9494&rft_id=info:doi/10.1088/0253-6102/61/2/13&rft_dat=%3Cproquest_cross%3E1744693783%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1744693783&rft_id=info:pmid/&rft_cqvip_id=48710552&rfr_iscdi=true