In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus et−α . 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.
Digital Object Identifier (DOI)
Vivas-Cortez, Miguel; E. Na ́poles Valde ́s, Juan; Eliecer Herna ́ndez Herna ́ndez, Jorge; Velasco Velasco, Jeaneth; and Larreal, Oswaldo
"On Non Conformable Fractional Laplace Transform,"
Applied Mathematics & Information Sciences: Vol. 15
, Article 1.
Available at: https://dc.naturalspublishing.com/amis/vol15/iss4/1