This paper discusses the linear fractional Fredholm-Volterra integro-differential equations (IDEs) considered in the Caputo sense. For this purpose, Laguerre polynomials have been used to construct an approximation method to obtain the solutions of the linear fractional Fredholm-Volterra IDEs. By this approximation method, the IDE has been transformed into a linear algebraic equation system using appropriate collocation points. In addition, a novel and exact matrix expression for the Caputo fractional derivatives of Laguerre polynomials and an associated explicit matrix formulation has been established for the first time in the literature. Furthermore, a comparison between the results of the proposed method and those of methods in the literature has been provided by implementing the method in numerous examples.
Caputo fractional derivatives Fredholm-Volterra integro-differential equations Laguerre polynomials
Birincil Dil | İngilizce |
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Konular | Diferansiyel ve İntegral Denklemlerin Sayısal Çözümü |
Bölüm | Makaleler |
Yazarlar | |
Erken Görünüm Tarihi | 15 Şubat 2024 |
Yayımlanma Tarihi | 18 Mart 2024 |
Gönderilme Tarihi | 13 Kasım 2023 |
Kabul Tarihi | 6 Şubat 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 1 |
Universal Journal of Mathematics and Applications
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