On Non Conformable Fractional Laplace Transform

In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus e^t. We calculate the Laplace transform of non-conforming agreement of this kernel from some elementary functions and establish the non-conforming version of the transform of the successive derivative, the integral of a function and the convolution of fractional functions. In addition, the bounded and the existence of the non-conforming Laplace transform is presented. Finally, we show the application of N₁- Transform to solving fractional differential equations.