Solving Abel integral equations of first kind via fractional calculus
We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using trapezoidal rule and Computer Algebra System Maple, the exact and approximation val...
Main Authors: | Salman Jahanshahi, Esmail Babolian, Delfim F.M. Torres, Alireza Vahidi |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2015-04-01
|
Series: | Journal of King Saud University: Science |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364714000780 |
Similar Items
-
Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
by: Ayşegül Daşcıoğlu, et al.
Published: (2019-01-01) -
The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
by: Muhammad Taufik Abdillah, et al.
Published: (2023-07-01) -
Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space
by: Kholmat M. Shadimetov, et al.
Published: (2022-08-01) -
Integral transform method for solving time fractional systems and fractional heat equation
by: Arman Aghili, et al.
Published: (2014-01-01) -
CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
by: R. Ezzati, et al.
Published: (2017-12-01)