[HTML][HTML] On the generalized Hermite–Hadamard inequalities via the tempered fractional integrals

PO Mohammed, MZ Sarikaya, D Baleanu - Symmetry, 2020 - mdpi.com
Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is
clear that inequalities aim to develop different mathematical methods (numerically or …

A new version of the Hermite–Hadamard inequality for Riemann–Liouville fractional integrals

PO Mohammed, I Brevik - Symmetry, 2020 - mdpi.com
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 …

[HTML][HTML] New Hermite–Hadamard inequalities in fuzzy-interval fractional calculus and related inequalities

MB Khan, PO Mohammed, MA Noor, YS Hamed - Symmetry, 2021 - mdpi.com
It is a familiar fact that inequalities have become a very popular method using fractional
integrals, and that this method has been the driving force behind many studies in recent …

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

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 …

Study on the stability and its simulation algorithm of a nonlinear impulsive ABC-fractional coupled system with a Laplacian operator via F-contractive map**

K Zhao - Advances in Continuous and Discrete Models, 2024 - Springer
In this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a
nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian …

[PDF][PDF] Treant, a, S

MB Khan, HG Zaini - Variational Problems and Applications, 2022 - files.znu.edu.ua
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel

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 …

[HTML][HTML] Stability of nonlinear q-fractional dynamical systems on time scale

NK Mahdi, AR Khudair - Partial Differential Equations in Applied …, 2023 - Elsevier
This paper adopts a new terminology,“delta q-Mittag-Leffler stability”, for studying the
stability of nonlinear q-fractional dynamical systems on the time scale. In fact, the idea of …

Generalized UH-stability of a nonlinear fractional coupling -Laplacian system concerned with nonsingular Atangana–Baleanu fractional calculus

K Zhao - Journal of Inequalities and Applications, 2023 - Springer
The classical p-Laplace equation is one of the special and significant second-order ODEs.
The fractional-order p-Laplace ODE is an important generalization. In this paper, we mainly …

New modified conformable fractional integral inequalities of Hermite–Hadamard type with applications

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 …