Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative

被引：14
|
作者：
Vanterler da C. Sousa, J. [1 ]
Vellappandi, M. [2 ]
Govindaraj, V. [2 ]
Frederico, Gastao S. F. [3 ]
机构：
[1] Fed Univ ABC, Ctr Math Comp & Cognit, Ave Estados 5001, BR-0921058 Santo Andre, SP, Brazil
[2] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India
[3] Univ Fed Ceara, Campus Russas, Ceara, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 08期
关键词：
TIME LINEAR-SYSTEMS; MINIMUM ENERGY CONTROL; DISCRETE-TIME; CONTROLLABILITY; OBSERVABILITY; ORDER; DELAYS; STATE;
D O I：
10.1063/5.0049341
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we investigate the reachability of linear and non-linear systems in the sense of the psi-Hilfer pseudo-fractional derivative in g-calculus by means of the Mittag-Leffler functions (one and two parameters). In this sense, two numerical examples are discussed in order to elucidate the investigated results.
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页数：17
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