Laplace - Fibonacci transform by the solution of second order generalized difference equation

Sandra Pinelas, et al. "Laplace - Fibonacci transform by the solution of second order generalized difference equation." Nonautonomous Dynamical Systems 4.1 (2017): 22-30. <http://eudml.org/doc/288466>.

@article{SandraPinelas2017,
abstract = {The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform is not available in the continuous case. The LFt generates uncountably many outcomes when the parameter t varies on (0,∞). This possibility is not available in the existing Laplace transform. All the formulae and results derived are verified by MATLAB.},
author = {Sandra Pinelas, G. B. A. Xavier, S. U. Vasantha Kumar, M. Meganathan},
journal = {Nonautonomous Dynamical Systems},
keywords = {Generalized difference operator; Two dimensional Fibonacci sequence; Closed form solution; Fibonacci summation formula; Laplace-Fibonacci Transform MSC: 39A70; 39A10; 44A10; 47B39; 65J10; 65Q10},
language = {eng},
number = {1},
pages = {22-30},
title = {Laplace - Fibonacci transform by the solution of second order generalized difference equation},
url = {http://eudml.org/doc/288466},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Sandra Pinelas
AU - G. B. A. Xavier
AU - S. U. Vasantha Kumar
AU - M. Meganathan
TI - Laplace - Fibonacci transform by the solution of second order generalized difference equation
JO - Nonautonomous Dynamical Systems
PY - 2017
VL - 4
IS - 1
SP - 22
EP - 30
AB - The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform is not available in the continuous case. The LFt generates uncountably many outcomes when the parameter t varies on (0,∞). This possibility is not available in the existing Laplace transform. All the formulae and results derived are verified by MATLAB.
LA - eng
KW - Generalized difference operator; Two dimensional Fibonacci sequence; Closed form solution; Fibonacci summation formula; Laplace-Fibonacci Transform MSC: 39A70; 39A10; 44A10; 47B39; 65J10; 65Q10
UR - http://eudml.org/doc/288466
ER -