Hermite–Hadamard type inequalities for multiplicative Riemann–Liouville fractional integrals

T Du, Y Peng - Journal of Computational and Applied Mathematics, 2024‏ - Elsevier
In this paper, we present a multiplicative fractional integral identity. Based upon it, we
establish the Hermite–Hadamard type inequalities for multiplicatively convex functions via …

On the parameterized fractal integral inequalities and related applications

T Du, X Yuan - Chaos, Solitons & Fractals, 2023‏ - Elsevier
The utilization of local fractional calculus to investigate inequalities has become a
widespread research method, which has enriched the theory of inequalities. The current …

Fractional multiplicative Bullen-type inequalities for multiplicative differentiable functions

H Boulares, B Meftah, A Moumen, R Shafqat, H Saber… - Symmetry, 2023‏ - mdpi.com
Various scholars have lately employed a wide range of strategies to resolve specific types of
symmetrical fractional differential equations. In this paper, we propose a new fractional …

On parameterized inequalities for fractional multiplicative integrals

WS Zhu, B Meftah, H Xu, F Jarad… - Demonstratio …, 2024‏ - degruyter.com
In this article, we present a one-parameter fractional multiplicative integral identity and use it
to derive a set of inequalities for multiplicatively s-convex map**s. These inequalities …

Multiplicatively Simpson type inequalities via fractional integral

A Moumen, H Boulares, B Meftah, R Shafqat, T Alraqad… - Symmetry, 2023‏ - mdpi.com
Multiplicative calculus, also called non-Newtonian calculus, represents an alternative
approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type …

On the multiparameterized fractional multiplicative integral inequalities

MB Almatrafi, W Saleh, A Lakhdari, F Jarad… - Journal of Inequalities …, 2024‏ - Springer
We introduce a novel multiparameterized fractional multiplicative integral identity and utilize
it to derive a range of inequalities for multiplicatively s-convex map**s in connection with …

Symmetrical Hermite–Hadamard type inequalities stemming from multiplicative fractional integrals

Y Peng, S Özcan, T Du - Chaos, Solitons & Fractals, 2024‏ - Elsevier
We firstly study∗ integrability and commutativity for multiplicative fractional integrals with
exponential kernels, proposed by Peng et al.(2022). Secondly, making use of such …

[PDF][PDF] On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications

S Chasreechai, MA Ali, S Naowarat, T Sitthiwirattham… - AIMS Math, 2023‏ - aimspress.com
In this paper, we establish an integral equality involving a multiplicative differentiable
function for the multiplicative integral. Then, we use the newly established equality to prove …

[PDF][PDF] Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions

Y Peng, T Du - Filomat, 2023‏ - doiserbia.nb.rs
Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively
P-functions Page 1 Filomat 37:28 (2023), 9497–9509 https://doi.org/10.2298/FIL2328497P …

[HTML][HTML] Fractional Maclaurin-type inequalities for multiplicatively convex functions

M Merad, B Meftah, A Moumen, M Bouye - Fractal and Fractional, 2023‏ - mdpi.com
This paper's major goal is to prove some symmetrical Maclaurin-type integral inequalities
inside the framework of multiplicative calculus. In order to accomplish this and after giving …