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Axioms, Volume 13, Issue 2

February 2024 - 62 articles

Cover Story: In this, we propose a method able to model fractional behaviors with convolution models involving non-singular kernels rather than the usual fractional calculus-based models. If the fractional behavior is a pure power law function, a particular rational kernel made of alternate poles and zeros permits accurate fitting on a time range. This fitting solution, similar to the one commonly employed in the frequency domain to approximate fractional integrator behavior, is performed here in the time domain; its leads to fewer gain and phase oscillations for a given number of poles and zeros. This approach also permits physical interpretation to be performed in terms of the delay distributions close to the probabilistic interpretation of the fractional behaviors involved in phenomena such as diffusion, adsorption or aggregation. View this paper
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Articles (62)

  • Article
  • Open Access
1 Citations
1,470 Views
10 Pages

Application of the Concept of Statistical Causality in Integrable Increasing Processes and Measures

  • Dragana Valjarević,
  • Vladica Stojanović and
  • Aleksandar Valjarević

17 February 2024

In this paper, we investigate an application of the statistical concept of causality, based on Granger’s definition of causality, on raw increasing processes as well as on optional and predictable measures. A raw increasing process is optional...

  • Article
  • Open Access
2 Citations
1,518 Views
13 Pages

On Equivalence Operators Derived from Overlap and Grouping Functions

  • Lei Du,
  • Yingying Xu,
  • Haifeng Song and
  • Songsong Dai

17 February 2024

This paper introduces the concept of equivalence operators based on overlap and grouping functions where the associativity property is not strongly required. Overlap functions and grouping functions are weaker than positive and continuous t-norms and...

  • Article
  • Open Access
1,508 Views
15 Pages

16 February 2024

The cubic structure, a captivating geometric structure, finds applications across various areas of geometry through different models. In this paper, we explore the significant characteristics of tangentials in cubic structures of ranks 0, 1, and 2. S...

  • Article
  • Open Access
2 Citations
2,173 Views
20 Pages

11 February 2024

This research introduces a rule-based decision-making model to investigate corporate governance, which has garnered increasing attention within financial markets. However, the existing corporate governance model developed by the Security and Future I...

  • Article
  • Open Access
1 Citations
2,619 Views
37 Pages

Estimating the Rate of Mutation to a Mutator Phenotype

  • Isaac Vázquez-Mendoza,
  • Erika E. Rodríguez-Torres,
  • Mojgan Ezadian,
  • Lindi M. Wahl and
  • Philip J. Gerrish

11 February 2024

A mutator is a variant in a population of organisms whose mutation rate is higher than the average mutation rate in the population. For genetic and population dynamics reasons, mutators are produced and survive with much greater frequency than anti-m...

  • Article
  • Open Access
1 Citations
1,854 Views
16 Pages

9 February 2024

In this paper, the robustness of a system with sundry disturbed open loop dynamics is investigated by employing robust right coprime factorization (RRCF). These sundry disturbed open loop dynamics are present not only in the feed forward path, but al...

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Axioms - ISSN 2075-1680