On Ulam–Hyers–Mittag–Leffler stability for Caputo fractional neutral differential equations containing multiple variable delays
Fractional Calculus and Applied Analysis, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s13540-026-00578-7
- Dergi Adı: Fractional Calculus and Applied Analysis
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Banach’s fixed point theorem, Bielecki norm, Caputo fractional-order neutral differential equation (primary), Chebyshev norm, Picard operator, UHML stability
- İstanbul Medipol Üniversitesi Adresli: Hayır
Özet
The paper deals with a nonlinear Caputo fractional order neutral differential equation (CFrNDE) such that nonlinear terms in the CFrNDE contain multiple variable delays. Some new results with regard to the existence, uniqueness of solutions and the Ulam–Hyers–Mittag–Leffler (UHML) stability for the considered CFrNDE are presented by using the Banach fixed point theorem, the Chebyshev norm, the Bielecki norm and the Picard operator. Two numerical examples are also provided to display the validation of our new results.