A New α - Integral Laplace Transform
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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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