Solution of 2D State Space Continuous-Time Conformable Fractional Linear System Using Laplace and Sumudu Transform

被引：4
作者：
Benyettou K. [1 ]
Bouagada D. [1 ]
Ghezzar M.A. [1 ]
机构：
[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, Mostaganem
来源：
Computational Mathematics and Modeling | 2021年 / 32卷 / 1期
关键词：
Conformable derivative; Fornasini-Marchesini models; Fractional linear systems; Laplace transform; Sumudu transform;
D O I：
10.1007/s10598-021-09519-w
中图分类号：
学科分类号：
摘要：
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. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：94 / 109
页数：15
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