Approximate controllability of fractional backward stochastic differential inclusions with order 1/2 p 1.

Selah M.

TURKISH JOURNAL OF MATHEMATICS, cilt.49, ss.397-410, 2025 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49
  • Basım Tarihi: 2025
  • Doi Numarası: 10.55730/1300-0098.3597
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Scopus, Science Citation Index Expanded (SCI-EXPANDED), MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.397-410
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this paper, fractional backward stochastic differential equations are extended to multivalued forms. Since

the problem of approximate controllability of the obtained fractional backward stochastic differential inclusions has

not yet been addressed in the literature, we focus on the approximate controllability of these systems. The study’s

main results, such as existence of the mild solution and approximate controllability for fractional backward stochastic

differential inclusions, have been proven through fractional calculus, Bohnenblust-Karlin Theorem, and appropriate

conditions.