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Solving fractional Fredholm integro-differential equations by Laguerre polynomials
Dascioglu, Aysegül1, Bayram, Dilek Varol2.
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.
Affiliation:
- Pamukkale University, Turkey
- Pamukkale University, Turkey
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MyJurnal (2021) |
H-Index
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6 |
Immediacy Index
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0.000 |
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0 |
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Web of Science (SCIE - Science Citation Index Expanded) |
Impact Factor
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JCR (1.009) |
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Q4 (Multidisciplinary Sciences) |
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JCI (0.15) |
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Scopus 2020 |
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CiteScore (1.4) |
Rank |
Q2 (Multidisciplinary) |
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SJR (0.251) |
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