CONVOLUTION STRUCTURE FOR TWO VERSION OF FRACTIONAL LAPLACE TRANSFORM

Journal Title: Journal of Science And Arts - Year 2011, Vol 15, Issue 2

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]i[/i] cos α, [i]i [/i]sinα, -[i]i[/i] cos α] and other by Torre [5] with representative matrix [cos α, [i]i[/i] sin α,[i]i [/i]sin α, [i]i[/i] 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.

Authors and Affiliations

PRABHAKAR DESHMUKH, ALKA GUDADHE

Keywords

Related Articles

NUMERICAL SOLUTION OF INTEGRAL EQUATION USING GALERKIN METHOD WITH HERMITE, CHEBYSHEV & ORTHOGONAL POLYNOMIALS

In this paper we introduce new approaches for numerical solution of Volterra integral equation of second kind. This numerical solution based on Galerkin method by using Hermite, Chebyshev & orthogonal polynomials. All ca...

THE CHALLENGING CONCEPT OF DISPLACEMENT IN BASIC CLASSICAL MECHANICS

In this paper we challenge concept of displacement in basic classical mechanics. In fact we show that displacement defined in basic mechanics books, it seemed that not full because in the different instances this matte...

TRIGONOMETRICAL IDENTITIES AND INEQUALITIES

In this paper we present some new identities and inequalities in triangles and quadrilaterals, continuing the idea from [1].

THE TOPOLOGIC STUDY OF THE GEOMETRIC TRAJECTORIES IN THE MATHEMATICAL BILLIARDS

The mathematical billiard problem is about the reflection of a light ray in different bounded domains. In this paper we will refer to the domain bounded by a circle.

MAGNETIC BEHAVIOUR OF Co IN YCo4-xCuxB COMPOUNDS

The RCo4B compounds, where R is a rare-earth or yttrium crystallize in a hexagonal structure of CeCo4B-type. In this lattice, the R atoms are located in 1a and 1b sites, Co in 2c and 6i sites and B in 2d positions. The m...

Download PDF file
  • EP ID EP85931
  • DOI -
  • Views 243
  • Downloads 0

How To Cite

PRABHAKAR DESHMUKH, ALKA GUDADHE (2011). CONVOLUTION STRUCTURE FOR TWO VERSION OF FRACTIONAL LAPLACE TRANSFORM. Journal of Science And Arts, 15(2), 143-150. https://europub.co.uk/articles/-A-85931