On Conformable Fractional Milne-Type Inequalities

R Ying, A Lakhdari, H Xu, W Saleh, B Meftah - Symmetry, 2024 - mdpi.com
Building upon previous research in conformable fractional calculus, this study introduces a
novel identity. Using this identity as a foundation, we derive a set of conformable fractional …

Artificial neural network solution for a fractional-order human skull model using a hybrid cuckoo search algorithm

Waseem, S Ali, S Khattak, A Ullah, M Ayaz, FA Awwad… - Symmetry, 2023 - mdpi.com
In this study, a new fractional-order model for human skull heat conduction is tackled by
using a neural network, and the results were further modified by using the hybrid cuckoo …

A study on reversed dynamic inequalities of Hilbert-type on time scales nabla calculus

AI Saied - Journal of Inequalities and Applications, 2024 - Springer
In this paper, we establish some reversed dynamic inequalities of Hilbert type on time scales
nabla calculus by applying reversed Hölder's inequality, chain rule on time scales, and the …

[PDF][PDF] Some weighted dynamic inequalities of Hardy type with kernels on time scales nabla calculus

E Awwad, A Saied - J. Math. Inequal., 2024 - files.ele-math.com
In this paper, we present some properties of the time scale nabla calculus and how to apply
it for proving the dynamic inequalities. Also, we prove some weighted dynamic inequalities …

Some New Bennett–Leindler Type Inequalities via Conformable Fractional Nabla Calculus

G AlNemer, M Zakarya, R Butush, HM Rezk - Symmetry, 2022 - mdpi.com
In this article, we prove several new fractional nabla Bennett–Leindler dynamic inequalities
with the help of a simple consequence of Keller's chain rule, integration by parts, mean …

Some new refinements of trapezium-type integral inequalities in connection with generalized fractional integrals

M Tariq, SK Sahoo, SK Ntouyas, OM Alsalami… - Axioms, 2022 - mdpi.com
The main objective of this article is to introduce a new notion of convexity, ie, modified
exponential type convex function, and establish related fractional inequalities. To strengthen …

[PDF][PDF] Some new generalizations of reversed Minkowski's inequality for several functions via time scales

ES Aly, AI Saied, I Ibedou, MS Algolam… - AIMS …, 2024 - aimspress.com
Some new generalizations of reversed Minkowski’s inequality for several functions via time
scales Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 9(5): 11156–11179 …

Some new dynamic inequalities for B-monotone functions with respect to time scales nabla calculus

NK Al-Oushoush, LE Azar, E Awwad, M Krnić… - Journal of inequalities …, 2024 - Springer
Motivated by certain results known from the literature, in this paper we give several new
dynamic inequalities for B-monotone functions with respect to time scales nabla calculus. If …

Some Hardy's inequalities on conformable fractional calculus

G AlNemer, SH Saker, GM Ashry, M Zakarya… - Demonstratio …, 2024 - degruyter.com
In this article, we will demonstrate some Hardy's inequalities by utilizing Hölder inequality,
integration by parts, and chain rule of the conformable fractional calculus. When α= 1, we …

[PDF][PDF] N-dimension for dynamic generalized inequalities of Hölder and Minkowski type on diamond alpha time scales

ES Aly, AM Mahnashi, AA Zaagan, I Ibedou… - AIMS …, 2024 - aimspress.com
N-dimension for dynamic generalized inequalities of Hölder and Minkowski type on diamond
alpha time scales Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 9(4) …