Solving fractional Fredholm integro-differential equations by Laguerre polynomials
The main purpose of this study was to present an approximation method based on the Laguerre polynomials to obtain the solutions of the fractional linear Fredholm integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic equations by usin...
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Penerbit Universiti Kebangsaan Malaysia
2019
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my-ukm.journal.130752019-06-14T03:32:47Z http://journalarticle.ukm.my/13075/ Solving fractional Fredholm integro-differential equations by Laguerre polynomials Daşcioğlu, Ayşegül Bayram, Dilek Varol The main purpose of this study was to present an approximation method based on the Laguerre polynomials to obtain the solutions of the fractional linear Fredholm integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic equations by using the collocation points. In addition, the matrix relation for Caputo fractional derivative of Laguerre polynomials is also obtained. Besides, some examples are presented to illustrate the accuracy of the method and the results are discussed. Penerbit Universiti Kebangsaan Malaysia 2019-01 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13075/1/29%20Aysegul%20Dascioglu.pdf Daşcioğlu, Ayşegül and Bayram, Dilek Varol (2019) Solving fractional Fredholm integro-differential equations by Laguerre polynomials. Sains Malaysiana, 48 (1). pp. 251-257. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil1_2019/KandunganJilid48Bil1_2019.html |
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The main purpose of this study was to present an approximation method based on the Laguerre polynomials to obtain the solutions of the fractional linear Fredholm integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic equations by using the collocation points. In addition, the matrix relation for Caputo fractional derivative of Laguerre polynomials is also obtained. Besides, some examples are presented to illustrate the accuracy of the method and the results are discussed. |
| format |
Article |
| author |
Daşcioğlu, Ayşegül Bayram, Dilek Varol |
| spellingShingle |
Daşcioğlu, Ayşegül Bayram, Dilek Varol Solving fractional Fredholm integro-differential equations by Laguerre polynomials |
| author_facet |
Daşcioğlu, Ayşegül Bayram, Dilek Varol |
| author_sort |
Daşcioğlu, Ayşegül |
| title |
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials |
| title_short |
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials |
| title_full |
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials |
| title_fullStr |
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials |
| title_full_unstemmed |
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials |
| title_sort |
solving fractional fredholm integro-differential
equations by laguerre polynomials |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2019 |
| url |
http://journalarticle.ukm.my/13075/1/29%20Aysegul%20Dascioglu.pdf http://journalarticle.ukm.my/13075/ http://www.ukm.my/jsm/malay_journals/jilid48bil1_2019/KandunganJilid48Bil1_2019.html |
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