CASep 30, 2014
Solving Abel integral equations of first kind via fractional calculusSalman Jahanshahi, Esmail Babolian, Delfim F. M. Torres et al.
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 values of three Abel integral equations are found, illustrating the effectiveness of the proposed approach.