Fractional frequency Laplace transform by inverse difference operator with shift value

Open Journal of Mathematical Sciences

Sandra Pinelas¹  Meganathan Murugesan²  Britto Antony Xavier Gnanaprakasam² 

[1] Departamento de Ciências Exactas e Naturais. Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal.;Department of Mathematics, Sacred Heart College, Tirupattur – 635601, Vellore District Tamil Nadu, South India.;

关键词: Fractional Laplace transform;    polynomial factorials;    exponential function;    convolution product;    inverse difference operator;    trigonometric function;   

DOI  :  10.30538/oms2019.0055

来源: DOAJ

【 摘 要 】

In this paper, we study the outcome of fractional Laplace transform using inverse difference operator with shift value. By the definition of convolution product, the properties of fractional transformation, the relation between convolution product and fractional frequency Laplace transform with shift value have been discussed. Further, the connection between usual Laplace transform and fractional frequency Laplace transform with shift value are also presented. Numerical examples with graphs are verified and generated by MATLAB.

【 授权许可】

Unknown