The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation

Integral equations are in which the unknown function is found to be inside integral sign. N. H. Abel used equation analyze relationship between kinetic energy and potential a falling object, expressed by two equations. This called Abel's equation. Furthermore, these developed produce generalizations further for each study aims explain of first second kind Abel’s equations, find solution The method determine an analytical method, includes Laplace transform, fractional calculus, manipulation When approach cannot solve equation, will determined numerical namely successive approximations. results showed that generalization can using transform On other hand, obtained from method. Further so (successive approximations) used.