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New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS
- 1.0576148 - ÚTIA 2024 RIV CH eng J - Journal Article
Eidinejad, Z. - Saadati, R. - Mesiar, Radko - Li, Ch.
New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS.
Symmetry-Basel. Roč. 14, č. 12 (2022), č. článku 2667. E-ISSN 2073-8994
Institutional support: RVO:67985556
Keywords : stability analysis * aggregation function * control function * fractional differential equations * fuzzy sets * ixed point
OECD category: Pure mathematics
Impact factor: 2.7, year: 2022
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2023/E/mesiar-0576148.pdf https://www.mdpi.com/2073-8994/14/12/2667
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.
Permanent Link: https://hdl.handle.net/11104/0346453
Number of the records: 1