Fuzzy Approximate Solutions of Matrix-Valued Fractional Differential Equations by Fuzzy Control Functions

被引：2

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 1684613114, Iran

[2] Univ Galway, Sch Math & Stat Sci, Univ Rd, Galway H91 TK33, Ireland

[3] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 06期

关键词：

fractional differential equation; special function; Hilfer derivative; STABILITY; ORDER;

D O I：

10.3390/math11061386

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply Mittag-Leffler-type functions to introduce a class of matrix-valued fuzzy controllers which help us to propose the notion of multi-stability (MS) and to obtain fuzzy approximate solutions of matrix-valued fractional differential equations in fuzzy spaces. The concept of multi stability allows us to obtain different approximations depending on the different special functions that are initially chosen. Additionally, using various properties of a function of Mittag-Leffler type, we study the Ulam-Hyers stability (UHS) of the models.

引用

页数：16

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