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Laguerre Collocation Approach of Caputo Fractional Fredholm-Volterra Integro-Differential Equations.
- Source :
- Universal Journal of Mathematics & Applications; Mar2024, Vol. 7 Issue 1, p38-45, 8p
- Publication Year :
- 2024
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26199653
- Volume :
- 7
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Universal Journal of Mathematics & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 176918677
- Full Text :
- https://doi.org/10.32323/ujma.1390222