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Mathematics, Volume 10, Issue 5

March-1 2022 - 176 articles

Cover Story: In this paper, we introduce a unified fractional derivative, defined by two parameters (order and asymmetry). From this, all the interesting derivatives can be obtained. We study the one-sided derivatives and show that most known derivatives are particular cases. We also consider some myths of fractional calculus and false fractional derivatives. The results are expected to contribute to limiting the appearance of derivatives that differ from existing ones just because they are defined on distinct domains and to prevent the ambiguous use of the concept of fractional derivatives. View this paper.
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Articles (176)

  • Article
  • Open Access
7 Citations
3,436 Views
29 Pages

7 March 2022

The stability of the economy of any country is primarily determined by the totality of macroeconomic indicators that describe the current economic state. This article provides a multi-dimensional analysis of the macroeconomic situation in Europe acco...

  • Article
  • Open Access
2,686 Views
14 Pages

7 March 2022

IoT is extensively used in many infrastructure applications, including telehealth, smart homes, smart grids, and smart cities. However, IoT has the weakest link in system security since it often has low processing and power resources. It is important...

  • Article
  • Open Access
11 Citations
2,969 Views
15 Pages

Performance Degradation Based on Importance Change and Application in Dissimilar Redundancy Actuation System

  • Yadong Zhang,
  • Chao Zhang,
  • Shaoping Wang,
  • Rentong Chen and
  • Mileta M. Tomovic

7 March 2022

The importance measure is a crucial method to identify and evaluate the system weak link. It is widely used in the optimization design and maintenance decision of aviation, aerospace, nuclear energy and other systems. The dissimilar redundancy actuat...

  • Article
  • Open Access
3 Citations
3,535 Views
22 Pages

The Grey Ten-Element Analysis Method: A Novel Strategic Analysis Tool

  • Shervin Zakeri,
  • Dimitri Konstantas and
  • Naoufel Cheikhrouhou

7 March 2022

In this paper, a new strategic analysis method is introduced, called the ten-element analysis (TEA) method to determine the firm’s strategic position in the market. The new method is grounded on the computation of the reflections of the externa...

  • Article
  • Open Access
23 Citations
4,777 Views
21 Pages

Bio-Constrained Codes with Neural Network for Density-Based DNA Data Storage

  • Abdur Rasool,
  • Qiang Qu,
  • Yang Wang and
  • Qingshan Jiang

7 March 2022

DNA has evolved as a cutting-edge medium for digital information storage due to its extremely high density and durable preservation to accommodate the data explosion. However, the strings of DNA are prone to errors during the hybridization process. I...

  • Article
  • Open Access
68 Citations
8,037 Views
14 Pages

7 March 2022

Sarcasm detection plays an important role in natural language processing as it can impact the performance of many applications, including sentiment analysis, opinion mining, and stance detection. Despite substantial progress on sarcasm detection, the...

  • Article
  • Open Access
8 Citations
2,809 Views
15 Pages

A Bayesian EAP-Based Nonlinear Extension of Croon and Van Veldhoven’s Model for Analyzing Data from Micro–Macro Multilevel Designs

  • Steffen Zitzmann,
  • Julian F. Lohmann,
  • Georg Krammer,
  • Christoph Helm,
  • Burak Aydin and
  • Martin Hecht

7 March 2022

Croon and van Veldhoven discussed a model for analyzing micro–macro multilevel designs in which a variable measured at the upper level is predicted by an explanatory variable that is measured at the lower level. Additionally, the authors propos...

  • Article
  • Open Access
5 Citations
3,111 Views
30 Pages

Reversible Data Hiding with a New Local Contrast Enhancement Approach

  • Eduardo Fragoso-Navarro,
  • Manuel Cedillo-Hernandez,
  • Francisco Garcia-Ugalde and
  • Robert Morelos-Zaragoza

7 March 2022

Reversible data hiding schemes hide information into a digital image and simultaneously increase its contrast. The improvements of the different approaches aim to increase the capacity, contrast, and quality of the image. However, recent proposals co...

  • Article
  • Open Access
16 Citations
3,215 Views
13 Pages

7 March 2022

Optimal designs of constant-stress accelerated life test plans is one of the important topics in reliability studies. Many devices produced have very high reliability under normal operating conditions. The question then arises of how to make the opti...

  • Article
  • Open Access
11 Citations
5,905 Views
21 Pages

7 March 2022

Branching patterns are ubiquitous in nature; consequently, over the years many researchers have tried to characterize the complexity of their structures. Due to their hierarchical nature and resemblance to fractal trees, they are often thought to hav...

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Mathematics - ISSN 2227-7390