In this research article, we develop and analyse the discrete fractional Laplace transform and obtain the properties of discrete fractional Laplace transform. Also, the discrete fractional Laplace transforms of certain functions like polynomial factorial, exponential functions, trigonometric functions, etc are derived. Moreover, we equate two types of solutions namely closed and summation forms and verify its efficacy with numerical results by MATLAB.
Digital Object Identifier (DOI)
Murugesan, Meganathan; Antony Xavier Gnanaprakasam, Britto; and Abdeljawad, Thabet
"Modeling with Fractional Laplace Transform by Difference Operator,"
Progress in Fractional Differentiation & Applications: Vol. 6
, Article 3.
Available at: https://dc.naturalspublishing.com/pfda/vol6/iss4/3