Certain k-fractional calculus operators and image formulas of k-Struve function

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Suthar D. L., Baleanu D., Purohit S. D., UÇAR F.

AIMS MATHEMATICS, cilt.5, sa.3, ss.1706-1719, 2020 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020115
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1706-1719
  • Anahtar Kelimeler: extended Bessel-Maitland function, extended beta function, integral transform, Riemann-Liouville fractional calculus operators, GAMMA-FUNCTION
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Marmara Üniversitesi Adresli: Evet

Özet

In this article, the Saigo's k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.