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