Solving fractional Fredholm integro-differential equations by Laguerre polynomials

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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Bibliographic Details
Main Authors: Daşcioğlu, Ayşegül (Author), Bayram, Dilek Varol (Author)
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia, 2019-01.
Online Access:Get fulltext
LEADER 01001 am a22001333u 4500
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042 |a dc 
100 1 0 |a Daşcioğlu, Ayşegül  |e author 
700 1 0 |a Bayram, Dilek Varol  |e author 
245 0 0 |a Solving fractional Fredholm integro-differential equations by Laguerre polynomials 
260 |b Penerbit Universiti Kebangsaan Malaysia,   |c 2019-01. 
856 |z Get fulltext  |u http://journalarticle.ukm.my/13075/1/29%20Aysegul%20Dascioglu.pdf 
520 |a 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. 
546 |a en 

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