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
Primary Language | English |
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Subjects | Numerical Solution of Differential and Integral Equations |
Journal Section | Articles |
Authors | |
Early Pub Date | February 15, 2024 |
Publication Date | March 18, 2024 |
Submission Date | November 13, 2023 |
Acceptance Date | February 6, 2024 |
Published in Issue | Year 2024 Volume: 7 Issue: 1 |
Universal Journal of Mathematics and Applications
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