Convolution Theorem for Fractional Laplace Transform

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This convolution is also generalizes the conventional ... fractional Fourier transform (FRFT)[7,8]matrix using a dilation matrix is equivalent to LCT operation with ...
International Journal of Electronics, Communication & Instrumentation Engineering Research and Development (IJECIERD) ISSN 2249-684X Vol. 3, Issue 4, Oct 2013, 37-40 © TJPRC Pvt. Ltd.

CONVOLUTION THEOREM FOR FRACTIONAL LAPLACE TRANSFORM P. V. MURALIDHAR1, Y. SRINIVASARAO2 & M. S. R. NAIDU3 1,3

Associate Professor, Department of Electronics and Communications Engineering, AITAM, Andhra Pradesh, India

2

Assistant professor, Department of Electronics and Communications Engineering, AITAM, Andhra Pradesh, India

ABSTRACT A new definition of the fractional Laplace transform (FLT) is proposed as a special case of the complex canonical transform [1]. An attempt is made on the convolution of FLT. This convolution is also generalizes the conventional Laplace transform convolution

KEYWORDS: Fractional Laplace Transform. Fractional Laplace Convolution. Fractional Fourier Transform. Linear Canonical Transform

INTRODUCTION The connections between the Laplace transform (LT), conventional Fourier transform (CFT), and linear canonical transform are well known and can be and can be referred in [2-4]. To be precise, for a function f(t) that is identically zero for t