A note on generated pseudo-operations with two parameters as a base for the generalized pseudo-laplace type transform

Abstract

Approach proposed in this paper has been done in the pseudo-analysis' framework, where by the pseudo-analysis mathematical theory that is a generalization of the classical analysis has been considered. Over the years, this theory has proved itself to be a powerful tool for solving problems in different aspects of mathematics, as well as in various practical problems. Using this apparatus, some important notions that are analogous to their classical counterparts, i.e., notions such as -measure, pseudo-integral, pseudo-convolution, pseudo-Laplace transform, etc., have been introduced [7, 10, 14, 18-20].