SOME RESULTS FOR THE FRACTIONAL INTEGRAL OPERATOR DEFINED ON THE SOBOLEV SPACES

GÜRDAL M., Nabiev A. A., Ayyildiz M.

Journal of Applied Mathematics and Informatics, cilt.40, sa.1-2, ss.173-184, 2022 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1-2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.14317/jami.2022.173
  • Dergi Adı: Journal of Applied Mathematics and Informatics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.173-184
  • Anahtar Kelimeler: Riemann-Liouville fractional integration operator, invariant subspaces, Sobolev space, lattice, unicellularity, Duhamel product, EXTENDED EIGENVECTORS, INVARIANT SUBSPACES, DIFFERENCE OPERATOR, EIGENVALUES
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

© 2022 KSCAM.We investigated the invariant subspaces of the fractional integral operator in the Sobolev space Wkp [0, 1] and prove unicellularity of the operator Jα by using the Duhamel product.