This convolution is also generalizes the conventional ... fractional Fourier transform (FRFT)[7,8]matrix using a dilation matrix is equivalent to LCT operation with ...
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
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