Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials

Faculty Science Year: 2014
Type of Publication: ZU Hosted Pages: 19-23
Authors:
Doaa Shoukry Mohamed Abdulmutallab
Journal: International Journal of Computer Applications (0975 – 8887) Foundation of Computer Science Volume: Volume 100– No.8, August 2014
Keywords : Fractional Calculus , Solving generalized Abel’s Integral    
Abstract:
In this paper we investigate the numerical solution of Abel’s integral equations of the first and second kind by chebychev polynomials of the first ,second ,third and fourth kinds. Some numerical examples are presented to illustrate the met
    
     
 
       

Author Related Publications

  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical solution of singular and non singular integral equations", Brazil Departamento de Matemática, Universidade Federal de Pernambuco, CEP 50740-540, Recife-PE, 2013 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial", Hindawi Publishing Corporation, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NUMERICAL SOLUTION OF FRACTIONAL SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING TAYLOR SERIES EXPANSION AND GALERKIN METHOD", 2014 Scientific Advances Publishers, 2014 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES", USA.EUDOXUS PRESS,LLC, 2010 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical solution of linear Fredholm integral equations", Marsland Press / Zhengzhou University, 2012 More

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