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Most Cited

  • Review
  • Open Access
7 Citations
5,139 Views
20 Pages

Review of the Uses of Acoustic Emissions in Monitoring Cavitation Erosion and Crack Propagation

  • Ismael Fernández-Osete,
  • David Bermejo,
  • Xavier Ayneto-Gubert and
  • Xavier Escaler

24 February 2024

Nowadays, hydropower plants are being used to compensate for the variable power produced by the new fluctuating renewable energy sources, such as wind and solar power, and to stabilise the grid. Consequently, hydraulic turbines are forced to work mor...

  • Article
  • Open Access
6 Citations
6,901 Views
17 Pages

Assessment of Humic and Fulvic Acid Sorbing Potential for Heavy Metals in Water

  • Eirini S. Papadaki,
  • Theodoros Chatzimitakos,
  • Vassilis Athanasiadis,
  • Dimitrios Kalompatsios,
  • Eleni Bozinou,
  • Paraskevi Mitlianga and
  • Stavros I. Lalas

7 December 2023

Pollution of water sources with heavy metals is a pressing environmental issue. To this end, various procedures are being used to remediate water, including sorption. The aim of this study was to investigate the effectiveness of humic acids (HAs) and...

  • Article
  • Open Access
5 Citations
4,856 Views
21 Pages

18 April 2023

The discussion of what matter and mass are has been going on for more than 2500 years. Much has been discovered about mass in various areas, such as relativity theory and modern quantum mechanics. Still, quantum mechanics has not been unified with gr...

  • Article
  • Open Access
5 Citations
3,403 Views
19 Pages

In this paper, we study a coupled system of nonlinear proportional fractional differential equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary conditions. Results on the existence and uniqueness of the solutio...

  • Article
  • Open Access
5 Citations
2,332 Views
17 Pages

21 February 2023

In this study, we present a convergence analysis of a Newton-like midpoint method for solving nonlinear equations in a Banach space setting. The semilocal convergence is analyzed in two different ways. The first one is shown by replacing the existing...

  • Review
  • Open Access
4 Citations
2,922 Views
25 Pages

Navigating the Water–Energy Nexus: A Mathematical Approach

  • Moses Kayanda Kiteto and
  • Cleophas Achisa Mecha

20 December 2024

The rising demand for both water and energy has intensified the urgency of addressing the water–energy nexus. Energy is required for water treatment and distribution, and energy production processes require water. The increasing demand for ener...

  • Review
  • Open Access
3 Citations
1,118 Views
25 Pages

Advances in Fractional Lyapunov-Type Inequalities: A Comprehensive Review

  • Sotiris K. Ntouyas,
  • Bashir Ahmad and
  • Jessada Tariboon

In this survey, we have included the recent results on Lyapunov-type inequalities for differential equations of fractional order associated with Dirichlet, nonlocal, multi-point, anti-periodic, and discrete boundary conditions. Our results involve a...

  • Article
  • Open Access
3 Citations
1,665 Views
15 Pages

One of the key applications of the Caputo fractional derivative is that the fractional order of the derivative can be utilized as a parameter to improve the mathematical model by comparing it to real data. To do so, we must first establish that the s...

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Foundations - ISSN 2673-9321