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Öğe New mixed operators for fractional integrations with some applications(Cambridge Scientific Publishers, 2021) Bezziou, M.; Dahmani, Z.; Sarikaya, M. Z.; Jebril, I.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. © CSP - Cambridge, UK; I&S - Florida, USA, 2021Öğe New Operators for Fractional Integration Theory with Some Applications(Islamic Azad Univ, Shiraz Branch, 2018) Bezziou, M.; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiIn this paper, we introduce new generalizations for the well konwn (k,s,h)-Riemann-Liouville, (k,s)-Hadamard and (k,s,h)-Hadamard fractional integral operators. We prove some of their properties. Then, using our proposed approaches, we establish some applications on inequalities.