A New α - Integral Laplace Transform

Cite this:
Romero, Luis G, M. G. D. O. R. P. J. H. (2016). A New α - Integral Laplace Transform. Asian Journal of Current Engineering and Maths, 5(5), 59–62. https://doi.org/10.15520/ajcem.2016.vol5.iss5.59.pp59-62.
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Abstract

In this short paper we introduce a new definition  - Integral Laplace Transform, , of a function belonging to the space of functions piecewise continuous in the interval and it is of exponential order .The importance of this new transform is a generalization of the Laplace transform both classical sense of the definition as in their properties and theorems. A table transform some features are present and in which the most important result is to calculate the  - Integral Laplace Transform of the singular kernel Riemman-Liouville. Also we study the action of this  - Integral Laplace Transform on the classical convolution product of functions.

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