Analysis of fractional stochastic evolution equations by using Hilfer derivative of finite approximate controllability

Moumen A., Shafqat R., Alsinai A., Boulares H., Cancan M., Jeelani M. B.

AIMS Mathematics, cilt.8, sa.7, ss.16094-16114, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3934/math.2023821
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.16094-16114
  • Anahtar Kelimeler: finite approximate controllability, fixed point theory, Hilfer derivative, semi-group, stochastic calculus, stochastic evolution equations
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The approximate controllability of a class of fractional stochastic evolution equations (FSEEs) are discussed in this study utilizes the Hilbert space by using Hilfer derivative. For different approaches, we remove the Lipschitz or compactness conditions and merely have to assume a weak growth requirement. The fixed point theorem, the diagonal argument, and approximation methods serve as the foundation for the study. The abstract theory is demonstratedusing an example. A conclusion is given at the end.