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article · Gulf Journal of Mathematics

Some results of generalization bilateral Laplace transform

Abstract

In this paper, we formulate the NFα-Bilateral Laplace transform on time scales, which is a generalization of the α-conformable Laplace transform. The existence theorem is proven, as well as the linearity, absolute and uniform convergence, the NFα-Bilateral transform of integral, and the NFα-Bilateral transform of derivative.

Research topics

  • Mathematical functions and polynomials
  • Mathematical Inequalities and Applications
  • Mathematical Analysis and Transform Methods

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DOI: 10.56947/gjom.v22i1.3901

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