Application of the Fractional Differential Transform Method to the First Kind Abel Integral Equation
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.
KeywordsAbel integral equation Differential transform method Fractional differential transform method
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