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Axioms, Volume 12, Issue 6

June 2023 - 106 articles

Cover Story: Non-Euclidean conics were studied in the nineteenth century as an application of projective geometry. However, the language of quadratic differentials gives a more concise explanation of their various types, which depend only on the placement of poles. By this approach, hyperbolic conics appear naturally in orthogonal pairs of confocal families, just as in the Euclidean and spherical cases. Nevertheless, the optical meaning of such a family requires a new definition from the intrinsic hyperbolic point of view. It is also a new result that there are nine distinct types of such confocal families in the hyperbolic case. View this paper
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Articles (106)

  • Article
  • Open Access
24 Citations
2,116 Views
18 Pages

19 June 2023

In this study, we used two unique approaches, namely the Yang transform decomposition method (YTDM) and the homotopy perturbation transform method (HPTM), to derive approximate analytical solutions for nonlinear time-fractional Zakharov–Kuznets...

  • Article
  • Open Access
6 Citations
2,629 Views
18 Pages

19 June 2023

Infectious diseases continue to be a significant threat to human health and civilization, and finding effective methods to combat them is crucial. In this paper, we investigate the impact of awareness campaigns and optimal control techniques on infec...

  • Article
  • Open Access
5 Citations
2,547 Views
21 Pages

19 June 2023

During the few last years, climate change, including global warming, which is attributed to human activities, and its long-term adverse effects on the planet’s functions have been identified as the most challenging discussion topics and have pr...

  • Article
  • Open Access
1 Citations
1,621 Views
11 Pages

Applications of Fuzzy Semiprimary Ideals under Group Action

  • Asma Ali,
  • Amal S. Alali and
  • Arshad Zishan

19 June 2023

Group actions are a valuable tool for investigating the symmetry and automorphism features of rings. The concept of fuzzy ideals in rings has been expanded with the introduction of fuzzy primary, weak primary, and semiprimary ideals. This paper explo...

  • Article
  • Open Access
1,551 Views
13 Pages

18 June 2023

The purpose of the research is the study of a nonconstant gradient constrained problem for nonlinear monotone operators. In particular, we study a stationary variational inequality, defined by a strongly monotone operator, in a convex set of gradient...

  • Article
  • Open Access
1,499 Views
16 Pages

18 June 2023

On a descriptive level, this paper presents a number of logical fragments which require the Boolean algebra B5, i.e., bitstrings of length five, for their semantic analysis. Two categories from the realm of natural language quantification are conside...

  • Article
  • Open Access
1,602 Views
18 Pages

RPCGB Method for Large-Scale Global Optimization Problems

  • Abderrahmane Ettahiri and
  • Abdelkrim El Mouatasim

18 June 2023

In this paper, we propose a new approach for optimizing a large-scale non-convex differentiable function subject to linear equality constraints. The proposed method, RPCGB (random perturbation of the conditional gradient method with bisection algorit...

  • Article
  • Open Access
1 Citations
1,868 Views
26 Pages

17 June 2023

In this research, we propose fourth-order non-uniform Hermitian differencing with a fifth-order adaptive time integration method for pricing system of free boundary exotic power put options consisting of the option value, delta sensitivity, and gamma...

  • Article
  • Open Access
6 Citations
1,709 Views
26 Pages

16 June 2023

A new Type-II generalized progressively hybrid censoring strategy, in which the experiment is ensured to stop at a specified time, is explored when the lifetime model of the test subjects follows a two-parameter alpha-power inverted exponential (Alph...

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Axioms - ISSN 2075-1680