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Application of the Fractional Differential Transform Method to the First Kind Abel Integral Equation

  • Subhabrata Mondal
  • B. N. Mandal
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 834)

Abstract

The fractional differential transform method is employed here for solving first kind Abel integral equation. Abel integral equation occurs in the mathematical modeling of several models in physics, astrophysics, solid mechanics and applied sciences. An analytic technique for solving Abel integral equation of first kind by the proposed method is introduced here. Also illustrative examples with exact solutions are considered to show the validity and applicability of the proposed method. Numerical results reveal that the proposed method works well and has good accuracy. The method introduces a promising tool for solving many linear and nonlinear fractional integral equation.

Keywords

Abel integral equation Differential transform method Fractional differential transform method 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of CalcuttaKolkataIndia
  2. 2.Physics and Applied Mathematics Unit, Indian Statistical InstituteKolkataIndia

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