GENERAL<i> ((k,</i><i> p</i> ) , ψ)-HILFER FRACTIONAL INTEGRALS

Benaissa B., Budak H.

MISKOLC MATHEMATICAL NOTES, cilt.25, sa.2, ss.617-627, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.18514/mmn.2024.4594
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.617-627
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

The main motivation of this study is to establish a general version of the RiemannLiouville fractional integrals with two exponential parameters k and p called ((k, p),psi)-Hilfer fractional integrals which is determined over the k-gamma function. We first prove that these operators are well-defined, continuous and have semi-group property. Then, particularly, we present the harmonic, geometric and arithmetic (k, p), psi-Hilfer fractional integrals. Moreover, some special cases relating to general ((k, p),psi)-Riemann-Liouville fraction integrals are given.