Enlarged integral inequalities through recent fractional generalized operators

AA Hyder, MA Barakat, A Fathallah - Journal of Inequalities and …, 2022 - Springer
This paper is devoted to proving some new fractional inequalities via recent generalized
fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski …

Further midpoint inequalities via generalized fractional operators in Riemann–Liouville sense

AA Hyder, H Budak, AA Almoneef - Fractal and Fractional, 2022 - mdpi.com
In this study, new midpoint-type inequalities are given through recently generalized
Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of …

Novel improved fractional operators and their scientific applications

AA Hyder, MA Barakat - Advances in Difference Equations, 2021 - Springer
The motivation of this research is to introduce some new fractional operators called “the
improved fractional (IF) operators”. The originality of these fractional operators comes from …

Thermosolutal convection of NEPCM inside a curved rectangular annulus: hybrid ISPH method and machine learning

AM Aly, SW Lee, NN Ho, Z Raizah - Computational Particle Mechanics, 2024 - Springer
In this work, the incompressible smoothed particle hydrodynamics (ISPH) method is utilized
to simulate thermosolutal convection in a novel annulus barred by NEPCMs. The novel …

A novel HIV model through fractional enlarged integral and differential operators

MA Barakat, AA Hyder, AA Almoneef - Scientific Reports, 2023 - nature.com
This article presents a novel mathematical fractional model to examine the transmission of
HIV. The new HIV model is built using recently fractional enlarged differential and integral …

Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions

F Hezenci, H Kara, H Budak - Boundary Value Problems, 2023 - Springer
In this paper, new inequalities for the left and right sides of the Hermite–Hadamard
inequality are acquired for twice-differentiable mappings. Conformable fractional integrals …

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 …

Conformable fractional Newton-type inequalities with respect to differentiable convex functions

C Ünal, F Hezenci, H Budak - Journal of Inequalities and Applications, 2023 - Springer
The authors propose a new method of investigation of an integral identity according to
conformable fractional operators. Moreover, some Newton-type inequalities are considered …

Fundamental solutions and conservation laws for conformable time fractional partial differential equation

X Cheng, L Wang - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, the connections between fundamental solutions and Lie symmetry groups for a
class of conformable time fractional partial differential equations (PDEs) with variable …

Novel results on trapezoid-type inequalities for conformable fractional integrals

F Hezenci, H BUDAK - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
This paper establishes an identity for the case of differentiable $ s-$ convex functions with
respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type …