Research Communication | Open Access
Volume 2021 | Communication ID 316
Volume 2021 | Communication ID 316
| Two Generalized Bspline integro equation methods and application to fractional integrals and caputo fractional derivatives |
Abdellah Lamnii, Nour Mohamed-Yassir, Zidna Ahmed
Received |
Accepted |
Published |
February 18, 2021 |
February 28, 2021 |
March 15, 2021 |
Abstract: In this work, we propose two methods based on Generalized Bspline to approximate functions defined by their integrals. Compared to the other existing methods, our new methods don’t need any additional end conditions and they are easy to be implemented without solving any system of equations. Efficient approximations of fractional integrals and fractional Caputo derivatives based on the second method, are constructed and well studied. The general approximation error is studied too, and the Numerical examples are also illustrated that our methods are very effectives andour generalized ...