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Mathematics, Volume 11, Issue 8

April-2 2023 - 213 articles

Cover Story: \({\mathrm{Sol}_{1}^{4}}\) is one of the 19 model spaces for 4-dim Thurston geometries. Some of them, including our ambient space, allow a specific non-geodesic translation which carries a unit vector given at the origin to any point in space by its tangent mapping. The corresponding curve is called the translation curve.
Geodesics and translation curves are investigated in this paper, followed by a discussion of their curvature properties. It is shown that translation curves in \({\mathrm{Sol}_{1}^{4}}\) are helices of order 4. Until now, the known translation curves in 4-dim Thurston geometries were only helices of order 3. View this paper
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Articles (213)

  • Article
  • Open Access
1 Citations
1,795 Views
14 Pages

Parameter-Independent Event-Triggered Implicit UKF for the Celestial Navigation Using Time Delay Measurement

  • Mingzhen Gui,
  • Caisheng Wei,
  • Yifeng Wei,
  • Kai Xiong,
  • Chengxi Zhang and
  • Mingzhe Dai

20 April 2023

Celestial navigation using time delay measurement is an innovative autonomous navigation method. To calculate the equivalent measurement, the numerical method needs to be applied, which is time-consuming. The event-triggered mechanism intermittently...

  • Review
  • Open Access
18 Citations
2,181 Views
106 Pages

20 April 2023

In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalit...

  • Article
  • Open Access
2 Citations
4,392 Views
22 Pages

20 April 2023

The purpose of this study is to address two major issues: (1) the spread of epidemics such as COVID-19 due to long waiting times caused by a large number of waiting for customers, and (2) excessive energy consumption resulting from the elevator patte...

  • Article
  • Open Access
2 Citations
1,814 Views
18 Pages

20 April 2023

We present a computational framework for modeling an inextensible single vesicle driven by the Helfrich force in an incompressible, non-Newtonian extracellular Carreau fluid. The vesicle membrane is captured with a level set strategy. The local inext...

  • Article
  • Open Access
2 Citations
1,476 Views
12 Pages

On Oscillations in a Gene Network with Diffusion

  • Vladimir Golubyatnikov,
  • Natalia Ayupova and
  • Natalia Kirillova

20 April 2023

We consider one system of partial derivative equations of the parabolic type as a model of a simple 3D gene network in the presence of diffusion of its three components. Using discretization of the phase portrait of this system, comparison theorems,...

  • Article
  • Open Access
11 Citations
3,184 Views
25 Pages

Connectivity Status of Intuitionistic Fuzzy Graph and Its Application to Merging of Banks

  • Jayanta Bera,
  • Kinkar Chandra Das,
  • Sovan Samanta and
  • Jeong-Gon Lee

20 April 2023

Intuitionistic fuzzy graph theory is used to represent ambiguous networks, such as financial and social networks. The connectivity of such networks has a significant role in analyzing the network characteristics. This study investigates the connectiv...

  • Article
  • Open Access
4 Citations
2,203 Views
18 Pages

Optimization of Drone Base Station Location for the Next-Generation Internet-of-Things Using a Pre-Trained Deep Learning Algorithm and NOMA

  • Hadeel Alsolai,
  • Wafa Mtouaa,
  • Mashael S. Maashi,
  • Mahmoud Othman,
  • Ishfaq Yaseen,
  • Amani A. Alneil,
  • Azza Elneil Osman and
  • Mohamed Ibrahim Alsaid

20 April 2023

Next-generation Internet-of-Things applications pose challenges for sixth-generation (6G) mobile networks, involving large bandwidth, increased network capabilities, and remarkably low latency. The possibility of using ultra-dense connectivity to add...

  • Article
  • Open Access
2 Citations
1,613 Views
20 Pages

A Posteriori Error Estimators for the Quasi-Newtonian Stokes Problem with a General Boundary Condition

  • Omar El Moutea,
  • Lahcen El Ouadefli,
  • Abdeslam El Akkad,
  • Nadia Nakbi,
  • Ahmed Elkhalfi,
  • Maria Luminita Scutaru and
  • Sorin Vlase

20 April 2023

In this paper, we approach two nonlinear differential equations applied in fluid mechanics by finite element methods (FEM). Our objective is to approach the solution to these problems; the first one is the “p-Laplacian” problem and the se...

  • Article
  • Open Access
2 Citations
1,458 Views
13 Pages

Parametric Study on the Sensitivity of Different Properties of Waves Propagating through an Incompressible Medium

  • Muhammad Aamir,
  • Weaam Alhejaili,
  • Khalid Lotfy,
  • Alaa A. El-Bary and
  • Adnan Jahangir

20 April 2023

This article deals with the study of disturbance that travels through the transversely isotropic medium in the form of waves. The particles of the considered medium have an additional property of small-scale internal rotation along with macroscopic t...

  • Article
  • Open Access
2,846 Views
16 Pages

The Regulator Problem to the Convection–Diffusion Equation

  • Andrés A. Ramírez and
  • Francisco Jurado

20 April 2023

In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed. The state operator for this abstract system model is here defined...

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Mathematics - ISSN 2227-7390