Numerical Solution of Abel Integral Equations of First Kind by Using Fractional Calculus

Faculty Science Year: 2016
Type of Publication: ZU Hosted Pages:
Authors:
Abbas Sedky Nagdy
Journal: Journal of Computational and Theoretical Nanoscience American Scientific Publishers (ASP) Volume:
Keywords : Numerical Solution , Abel Integral Equations of First    
Abstract:
We use 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.
    
     
 
       

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