FRACTIONAL LAPLACE TRANSFORM TO SOLVE CONFORMABLE DIFFERENTIAL EQUATIONS

In this paper, we convert some of the conformable fractional differential equations (CFDEs) into ordinary differential equations using the fractional Laplace transform. The fractional Laplace transform introduced by Abdeljawad are investigated by other authors. The fractional Laplace transform method is developed to get the exact solution of conformable fractional differential equations. Our paper,s aim is to convert the conformable fractional differential equations into ordinary differential equations. This is done using the fractional Laplace transformation of (α + β) or (α + β + γ) order. Furthermore, a new definition of fractional Laplace transformation is introduced. We do not need the initial value of function at t = a.