Nd Statespace Fornasini Continuous

The present research paper deals with the effectiveness of the solvability of two dimensional (2D) models. This study explores the new fractional derivatives and extended transforms for a class of bidimensional models. A 2D Sumudu and 2D Laplace transforms are used to establish the solution of the continuous Fornasini-Marchesini models by the use of the conformable derivatives. A new definition and properties of Sumudu in two dimensional case are given. Finally, an illustrative example is given to show the accuracy and applicability of the developed methods.

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Authors and Affiliations

1. Department of Mathematics and Computer Science, ACSY Team-Laboratory of Pure and Applied Mathematics, Abdelhamid Ibn Badis University Mostaganem, P.O.Box 227/118, 27000, Mostaganem, Algeria

   K. Benyettou, D. Bouagada & M. A. Ghezzar

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Correspondence to K. Benyettou.

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Benyettou, K., Bouagada, D. & Ghezzar, M.A. Solution of 2D State Space Continuous-Time Conformable Fractional Linear System Using Laplace and Sumudu Transform. Comput Math Model 32, 94–109 (2021). https://doi.org/10.1007/s10598-021-09519-w

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• Published: 23 June 2021

• Issue Date: January 2021

• DOI : https://doi.org/10.1007/s10598-021-09519-w

Keywords

• Fractional linear systems
• Conformable derivative
• Sumudu transform
• Laplace transform
• Fornasini-Marchesini models

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