Spline Collocation Method for Nonlinear Multi-Term Fractional Differential Equation
International Symposium in Commemoration of the 65th Anniversary of the Foundation of Kim Il Sung University(Mathematics), 20-21, Sep. Juche100(2011), Pyongyang, D.P.R.Korea, 74-78pp We study an approximation method to solve nonlinear multi-term fractional differential equations with initial conditi...
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| creator | Choe, Hui-Chol Kang, Yong-Suk |
| description | International Symposium in Commemoration of the 65th Anniversary
of the Foundation of Kim Il Sung University(Mathematics), 20-21, Sep.
Juche100(2011), Pyongyang, D.P.R.Korea, 74-78pp We study an approximation method to solve nonlinear multi-term fractional
differential equations with initial conditions or boundary conditions. First,
we transform the nonlinear multi-term fractional differential equations with
initial conditions and boundary conditions to nonlinear fractional integral
equations and consider the relations between them. We present a Spline
Collocation Method and prove the existence, uniqueness and convergence of
approximate solution as well as error estimation. The approximate solution of
fractional differential equation is obtained by fractional integration of the
approximate solution for fractional integral equation. |
| doi_str_mv | 10.48550/arxiv.1303.4833 |
| format | Article |
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of the Foundation of Kim Il Sung University(Mathematics), 20-21, Sep.
Juche100(2011), Pyongyang, D.P.R.Korea, 74-78pp We study an approximation method to solve nonlinear multi-term fractional
differential equations with initial conditions or boundary conditions. First,
we transform the nonlinear multi-term fractional differential equations with
initial conditions and boundary conditions to nonlinear fractional integral
equations and consider the relations between them. We present a Spline
Collocation Method and prove the existence, uniqueness and convergence of
approximate solution as well as error estimation. The approximate solution of
fractional differential equation is obtained by fractional integration of the
approximate solution for fractional integral equation.</description><identifier>DOI: 10.48550/arxiv.1303.4833</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Mathematics - Numerical Analysis ; Physics - Mathematical Physics</subject><creationdate>2013-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1303.4833$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1303.4833$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Choe, Hui-Chol</creatorcontrib><creatorcontrib>Kang, Yong-Suk</creatorcontrib><title>Spline Collocation Method for Nonlinear Multi-Term Fractional Differential Equation</title><description>International Symposium in Commemoration of the 65th Anniversary
of the Foundation of Kim Il Sung University(Mathematics), 20-21, Sep.
Juche100(2011), Pyongyang, D.P.R.Korea, 74-78pp We study an approximation method to solve nonlinear multi-term fractional
differential equations with initial conditions or boundary conditions. First,
we transform the nonlinear multi-term fractional differential equations with
initial conditions and boundary conditions to nonlinear fractional integral
equations and consider the relations between them. We present a Spline
Collocation Method and prove the existence, uniqueness and convergence of
approximate solution as well as error estimation. The approximate solution of
fractional differential equation is obtained by fractional integration of the
approximate solution for fractional integral equation.</description><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Numerical Analysis</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj71uwjAUhb0wVLR7p8ovEGpzc20yVim0SNAOZI9ukmvVkonBDVX79iXAdHR-dKRPiEetZvkCUT1T-vU_Mw0KzgHAndjtDsH3LMsYQmxp8LGXWx6-YiddTPIj9mNNSW5PYfBZxWkvV4nacUhBvnrnOHE_-LNZHk-Xg3sxcRS--eGmU1GtllX5nm0-39blyyYjg5AhWtamMxq0cohNh7mjogCrTcNAVsEcW9KWbYOuIYQizxcKrENjgdQcpuLpenuBqg_J7yn91SNcPcLBP7hzSY0</recordid><startdate>20130319</startdate><enddate>20130319</enddate><creator>Choe, Hui-Chol</creator><creator>Kang, Yong-Suk</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20130319</creationdate><title>Spline Collocation Method for Nonlinear Multi-Term Fractional Differential Equation</title><author>Choe, Hui-Chol ; Kang, Yong-Suk</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a653-557e16d61310f55bd54fa993716be3a70325ca17e7b5fba539448037f5673a023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Numerical Analysis</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Choe, Hui-Chol</creatorcontrib><creatorcontrib>Kang, Yong-Suk</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Choe, Hui-Chol</au><au>Kang, Yong-Suk</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spline Collocation Method for Nonlinear Multi-Term Fractional Differential Equation</atitle><date>2013-03-19</date><risdate>2013</risdate><abstract>International Symposium in Commemoration of the 65th Anniversary
of the Foundation of Kim Il Sung University(Mathematics), 20-21, Sep.
Juche100(2011), Pyongyang, D.P.R.Korea, 74-78pp We study an approximation method to solve nonlinear multi-term fractional
differential equations with initial conditions or boundary conditions. First,
we transform the nonlinear multi-term fractional differential equations with
initial conditions and boundary conditions to nonlinear fractional integral
equations and consider the relations between them. We present a Spline
Collocation Method and prove the existence, uniqueness and convergence of
approximate solution as well as error estimation. The approximate solution of
fractional differential equation is obtained by fractional integration of the
approximate solution for fractional integral equation.</abstract><doi>10.48550/arxiv.1303.4833</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Mathematics - Numerical Analysis Physics - Mathematical Physics |
| title | Spline Collocation Method for Nonlinear Multi-Term Fractional Differential Equation |
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