Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Nature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, based on the concept of the granular Caputo fractional derivative, a class of fuzzy fractional differential systems with finite-time delay is investigated. We firstly introduce the concept of Mittag-Leffler type matrix function generated by a square fuzzy matrix. Then through Laplace transform, we construct the explicit formula of mild solutions to the problem. Applying Banach contraction principle, the existence and uniqueness of fuzzy mild solution of the problem are shown. Secondly, utilizing Jensen inequality, Hölder inequality and Gronwall inequality, we establish sufficient conditions to guarantee for finite-time stability results of the considered problem. Especially, these conditions are obtained without Lipschitz property of the function f containing delay term. Finally, we have also illustrated the theoretical results by an numerical example. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Açıklama
Anahtar Kelimeler
Finite-Time Stability, Granular Differentiability, Horizontal Membership Function, Time-Delay Fuzzy Fractional Differential Equations
Kaynak
Granular Computing
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Dong, N. P., Son, N. T. K., Allahviranloo, T., & Tam, H. T. T. (2022). Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing. Granular Computing, doi:10.1007/s41066-022-00325-2
