A New Integral Transform: ARA Transform and Its Properties and Applications
Rania Saadeh, Ahmad Qazza, Aliaa Burqan
Abstract
In this paper, we introduce a new type of integral transforms, called the ARA integral transform that is defined as: G n [ g ( t ) ] ( s ) = G ( n , s ) = s ∫ 0 ∞ t n − 1 e − s t g ( t ) d t , s > 0 . We prove some properties of ARA transform and give some examples. Also, some applications of the ARA transform are given.
Topics & Concepts
Integral transformDiscrete Hartley transformHartley transformMathematicsFractional Fourier transformS transformDiscrete mathematicsComputer scienceMathematical analysisFourier transformArtificial intelligenceWavelet transformDiscrete wavelet transformFourier analysisWaveletMathematical Analysis and Transform MethodsAnalytic and geometric function theoryFractional Differential Equations Solutions