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Nonautonomous Dynamical Systems

formerly Nonautonomous and Stochastic Dynamical Systems

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Managing Editor: Cánovas, Jose

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

Sandra Pinelas
  • Corresponding author
  • Academia Militar, Departamento de CiAłncias Exactas e Naturais, Av. Conde Castro GuimarÃces, 2720-113 Amadora, Portugal
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ G. B. A. Xavier / S. U. Vasantha Kumar
  • Department of Mathematics, Sacred Heart College, Tirupattur - 635601, Vellore District, Tamil Nadu, S. India
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ M. Meganathan
  • Department of Mathematics, Sacred Heart College, Tirupattur - 635601, Vellore District, Tamil Nadu, S. India
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  • De Gruyter OnlineGoogle Scholar
Published Online: 2017-09-02 | DOI: https://doi.org/10.1515/msds-2017-0003


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.

Keywords : Generalized difference operator; Two dimensional Fibonacci sequence; Closed form solution; Fibonacci summation formula; Laplace-Fibonacci Transform MSC: 39A70; 39A10; 44A10; 47B39; 65J10; 65Q10


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About the article

Received: 2016-06-29

Accepted: 2017-04-24

Published Online: 2017-09-02

Published in Print: 2017-08-28

Citation Information: Nonautonomous Dynamical Systems, Volume 4, Issue 1, Pages 22–30, ISSN (Online) 2353-0626, DOI: https://doi.org/10.1515/msds-2017-0003.

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© 2017. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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