Integral inequalities play a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods. Thus, the present …
T Du, C Luo, Z Cao - Fractals, 2021 - World Scientific
By using generalized fractional integrals, some Bullen-type inequalities are derived where the first derivative of considered functions is Lipschitzian, bounded or generalized (s, m) …
PO Mohammed - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this article, we have established new Hermite–Hadamard's type inequalities for Riemann– Liouville fractional integrals of convex functions with respect to increasing functions. Our …
The present paper first establishes that an identity involving generalized fractional integrals is proved for differentiable functions by using two parameters. By utilizing this identity, we …
J Han, PO Mohammed, H Zeng - Open Mathematics, 2020 - degruyter.com
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new …
PO Mohammed, T Abdeljawad - Advances in Difference Equations, 2020 - Springer
At first, we construct a connection between the Atangana–Baleanu and the Riemann– Liouville fractional integrals of a function with respect to a monotone function with …
T Abdeljawad, PO Mohammed… - Journal of Function …, 2020 - Wiley Online Library
In this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the …
Y Yu, J Liu, T Du - Chaos, Solitons & Fractals, 2022 - Elsevier
The objective of this study is to research certain integral inequalities with a parameter through the generalized (s, P)-preinvex mappings in the frame of fractal space. In view of …
The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric …