Browsing by Author "Butt, Saad Ihsan"

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    Several new integral inequalities via caputo fractional integral operators
    (Univ Nis, Fac Sci Math, 2023-01-01) Butt, Saad Ihsan; Ekinci, Alper; Nadeem, Mehroz; Özdemir, M. Emin; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi.; 0000-0001-7192-8269; ITT-3431-2023; HKF-3391-2023
    In this paper, we establish several new integral inequalities including Caputo fractional derivatives for quasi-convex, s-Godunova-Levin convex. In order to obtain our results, we have used fairly elementary methodology by using the classical inequalities such that Holder inequality, Power mean inequality and Weighted Holder inequality. This work is motivated by Farid et al in [17]. Especially we aim to obtain inequalities involving only right-sided Caputo-fractional derivative of order alpha.
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    Publication
    Several new integral inequalities via caputo k-fractional derivative operators
    (World Scientific Publ Co Pte Ltd, 2021-09-01) Butt, Saad Ihsan; Ozdemir, M. Emin; Umar, Muhammad; Çelik, Barış; Bursa Uludağ Üniversitesi/Eğitim Fakültesi.; 0000-0001-7192-8269; 0000-0002-6534-2920; 0000-0001-5372-7543; ITT-3431-2023; AAH-1091-2021; ABF-8243-2020; ABF-6613-2020
    In this paper, we establish several new integral inequalities involving Caputo k-fractional derivatives for eta-quasi-convex and s-Godunova-Levin convex. In order to obtain our results, we use some classical inequalities such as Holder's inequality and its power mean and weighted versions.