Controllability of stochastic semilinear neutral impulsive systems with integral boundary conditions involving a non-singular fractional derivative


Hussain S., Shah K., Shah S. K., Abdeljawad T., Mukheimer A., Ansari K. J.

Mathematical and Computer Modelling of Dynamical Systems, cilt.32, sa.1, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1080/13873954.2026.2702248
  • Dergi Adı: Mathematical and Computer Modelling of Dynamical Systems
  • Derginin Tarandığı İndeksler: 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)
  • Anahtar Kelimeler: Controllability, K-set contraction, stochastic differential equations
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.