New mixed operators for fractional integrations with some applications

  • {Mohamed Bezziou UDBKM, University and laboratory LPAM, Mostaganem, Algeria.
  • Zoubir Dahmani Laboratory LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
  • Mehmet Zeki Sarikaya Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce-TURKEY
  • Iqbal Jebril Mathematics Department, Al Zaytoonah University of Jordan, \\ Queen Alia Airport St 594, Amman 11733, Jordane


In this paper, we introduce new mixed operators related to the coupled orders Riemann-Liouville integrals. Then, we prove some of their properties, such as semigroup and commutativity. At the end, some applications are discussed.