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On Non Conformable Fractional Laplace Transform |
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PP: 403-409 |
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doi:10.18576/amis/150401
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Author(s) |
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Miguel Vivas-Cortez,
Juan E. Na ́poles Valde ́s,
Jorge Eliecer Herna ́ndez Herna ́ndez,
Jeaneth Velasco Velasco,
Oswaldo Larreal,
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Abstract |
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| 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.
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