Journal of innovative applied mathematics and computational sciences
Volume 2, Numéro 3, Pages 1-14
2022-12-31
Authors : Jaza Rahel . Hamasalh Faraidun .
A new type of non-polynomial fractional spline function for approximating solutions of Fredholm-integral equations has been presented. For this purpose, we used a new idea of fractional continuity conditions by using the Caputo fractional derivative and the Riemann Liouville fractional integration to generate fractional spline derivatives. Moreover, the convergence analysis is studied with proven theorems. The approach is also well-explained and supported by four computational numerical findings, which show that it is both accurate and simple to apply.
spline method, fractional derivative, integral equation, convergence analysis
Houas Mohamed
.
Bezziou Mohamed
.
pages 059-066.
Einy Masoumeh
.
Rashidinia Jalil
.
Ghorbanalinezhad Sadra
.
pages 35-48.
Benbachir Maamar
.
Boutiara Abdellatif
.
pages 27-42.
Hassouni S
.
Saidi H
.
Boumedjane Y
.
Zerarka A
.
pages 39-41.
Senouci Abdelkader
.
Khirani Mohamed
.
pages 6-10.