Controllability of stochastic semilinear neutral impulsive systems with integral boundary conditions involving a non-singular fractional derivative
Mathematical and Computer Modelling of Dynamical Systems, vol.32, no.1, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 32 Issue: 1
- Publication Date: 2026
- Doi Number: 10.1080/13873954.2026.2702248
- Journal Name: Mathematical and Computer Modelling of Dynamical Systems
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Compendex, INSPEC, MathSciNet, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Keywords: Controllability, K-set contraction, stochastic differential equations
- Middle East Technical University Affiliated: Yes
Abstract
This paper investigates the controllability of semilinear neutral stochastic Atangana-Baleanu (AB) Caputo fractional differential equations (FDEs) under integral boundary conditions with impulses. The primary results are derived from principles and techniques of measures of noncompactness, semigroup theory, (Formula presented.) -set contraction, fractional calculus, and stochastic theory. Finally, the key theoretical findings are verified with an illustration.