A novel stability study on volterra integral equations with delay (VIE-D) using the fuzzy minimum optimal controller in matrix-valued fuzzy Banach spaces
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Our main goal in this article is to investigate the Hyers-Ulam-Rassias stability (HURS) for a type of integral equation called Volterra integral equation with delay (VIE-D). First, by considering special functions such as the Wright function (WR), Mittag-Leffler function (ML), Gauss hypergeometric function (GH), H-Fox function (H-F), and also by introducing the aggregation function, we select the best control function by performing numerical calculations to investigate the stability of the desired equation. In the following, using the selected optimal function, i.e., the minimum function, we prove the existence of a unique solution and the HURS of the VI-D equation in the matrix-valued fuzzy space (MVFS) with two different intervals. At the end of each section, we provide a numerical example of the obtained results.
Açıklama
Anahtar Kelimeler
Mittag-Leffler Function, Gauss Hypergeometric Function, Wright Function, H-Fox Function, Hu Stability, Hur Stability, Aggregation Function (Af), Optimal, Control Function, Minimum Function, Volterra Integral Equation With Delay (Vie-D), Mvfb-Spaces
Kaynak
Computational & Applied Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
42
Sayı
5
