CONVOLUTION STRUCTURE FOR TWO VERSION OF FRACTIONAL LAPLACE TRANSFORM

By PRABHAKAR R. DESHMUKH

Abstract

Two versions of fractional Laplace transform are found in the literature. One by Sharma [4], which is a special case of linear canonical transform with representative matrix [i cos α,i sin α,i sin α, -i cos α]and other by Torre [5] with representative matrix [cos α,i sin α,i sin α, cos α]. This paper is devoted to study the convolution structure for both versions of fractional Laplace transform. We have also proved convolution theorem for them.

Topics: Linear canonical transform, Fractional Laplace transform, convolution.
Publisher: Bibliotheca Publishing House
Year: 2011
Provided by Directory of Open Access Journals

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  1. Fractional Laplace transform, - K K Sharma - 2007
  2. Generalized integral transform, Inter-Science Publishers, - A H Zemanian - 1968