Application of aggregated control functions for approximating C-Hilfer fractional differential equations

被引：0
|
作者：
Aderyani, Safoura Rezaei [1 ]
Saadati, Reza [1 ]
O'Regan, Donal [2 ]
Alshammari, Fehaid Salem [3 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran
[2] Univ Galway, Sch Math & Stat Sci, Univ Rd, Galway H91TK33, Ireland
[3] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 11期
关键词：
aggregation maps; special functions; stability; STABILITY;
D O I：
10.3934/math.20231433
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main issue we are studying in this paper is that of aggregation maps, which refers to the process of combining various input values into a single output. We apply aggregated special maps on Mittag-Leffler-type functions in one parameter to get diverse approximation errors for fractionalorder systems in Hilfer sense using an optimal method. Indeed, making use of various well-known special functions that are initially chosen, we establish a new class of matrix-valued fuzzy controllers to evaluate maximal stability and minimal error. An example is given to illustrate the numerical results by charts and tables.
引用
收藏
页码：28010 / 28032
页数：23
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