New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS

被引：3
作者：
Eidinejad, Zahra [1 ]
Saadati, Reza [1 ]
Mesiar, Radko [2 ,3 ]
Li, Chenkuan [4 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1311416846, Iran
[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Radlinskeho 11, Bratislava 81005, Slovakia
[3] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, Prague 18208, Czech Republic
[4] Brandon Univ, Dept Math & Comp Sci, Brandon, MB R7A 6A9, Canada
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 12期
基金：
加拿大自然科学与工程研究理事会;
关键词：
stability analysis; aggregation function; control function; fractional differential equations; fuzzy sets; fixed point; EXISTENCE; FRAME;
D O I：
10.3390/sym14122667
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
By using a class of aggregation control functions, we introduce the concept of multiple-HU-OS1-stability and get an optimum approximation for a nonlinear single fractional differential equation (NS-ABC-FDE) with a Mittag-Leffler kernel. We apply an alternative fixed-point theorem to prove the existence of a unique solution and the multiple-HU-OS1-stability for the NS-ABC-FDE in the symmetric matrix-valued FBS. Finally, with an example, we show the application of the obtained results.
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页数：16
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