TY  - JOUR
T1  - Laguerre Collocation Approach of Caputo Fractional Fredholm-Volterra Integro-Differential Equations
AU  - Daşcıoğlu, Ayşegül
AU  - Varol, Dilek
PY  - 2024
DA  - March
Y2  - 2024
DO  - 10.32323/ujma.1390222
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 38
EP  - 45
VL  - 7
IS  - 1
LA  - en
AB  - 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.
KW  - Caputo fractional derivatives
KW  - Fredholm-Volterra integro-differential equations
KW  - Laguerre polynomials
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UR  - https://doi.org/10.32323/ujma.1390222
L1  - https://dergipark.org.tr/en/download/article-file/3534797
ER  -