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[HTML][HTML] On the generalized Hermite–Hadamard inequalities via the tempered fractional integrals
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 …
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 …
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
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 …
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 …
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 …
nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian …
[PDF][PDF] Treant, a, S
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 …
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 …
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 …
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 …
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 …
conformable fractional operators so that the normal version is recovered in its limit for the …