Study of new class of q−fractional integral operator

Momenzadeh M., Mahmudov N.

Filomat, vol.33, no.17, pp.5713-5721, 2019 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 33 Say: 17
  • Nəşr tarixi: 2019
  • Doi nömrəsi: 10.2298/fil1917713m
  • jurnalın adı: Filomat
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.5713-5721
  • Açar sözlər: Hadamard fractional differential operator, Q-fractional differential integral operator
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, we study on the new class of q−fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied tp f (t) in these integrals and a new class of q-fractional integral operator with parameter p, is introduced. Recently, the q-analogue of fractional differential integral operator is studied and all of the operators defined in these studies are q−analogue of Riemann fractional differential operator. We show that our new class of operator generalize all the operators in use, and additionally, it can cover the q-analogue of Hadamard fractional differential operator, as well. Some properties of this operator are investigated.