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  • Article
  • Open Access
123 Citations
34,851 Views
18 Pages

Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach

  • Phumudzo Lloyd Seabe,
  • Claude Rodrigue Bambe Moutsinga and
  • Edson Pindza

Highly accurate cryptocurrency price predictions are of paramount interest to investors and researchers. However, owing to the nonlinearity of the cryptocurrency market, it is difficult to assess the distinct nature of time-series data, resulting in...

  • Article
  • Open Access
6 Citations
11,710 Views
19 Pages

In a famous architectural discussion, Colin Rowe links the geometric properties of two sixteenth century villas by Andrea Palladio and two twentieth century villas by the architect Le Corbusier. Rowe observed that different structural systems produce...

  • Review
  • Open Access
29 Citations
10,825 Views
22 Pages

Cancer is a complex disease, responsible for a significant portion of global deaths. The increasing prioritisation of know-why over know-how approaches in biological research has favoured the rising use of both white- and black-box mathematical techn...

  • Article
  • Open Access
12 Citations
9,549 Views
31 Pages

In this article, we investigate the market efficiency of global stock markets using the multifractal detrended fluctuation analysis methodology and analyze the results by dividing them into developed, emerging, and frontier groups. The static analysi...

  • Article
  • Open Access
92 Citations
8,708 Views
28 Pages

Hydration and Fractal Analysis on Low-Heat Portland Cement Pastes Using Thermodynamics-Based Methods

  • Yifan Zhou,
  • Wenwei Li,
  • Yuxiang Peng,
  • Shengwen Tang,
  • Lei Wang,
  • Yan Shi,
  • Yang Li,
  • Yang Wang,
  • Zhicheng Geng and
  • Kai Wu

Low-heat Portland (LHP) cement is a kind of high-belite cement, which has the characteristic of low hydration heat. Currently, it is extensively used in the temperature control of mass concrete. Based on the thermodynamic database of OPC-based materi...

  • Article
  • Open Access
1 Citations
7,621 Views
33 Pages

Proposal for Use of the Fractional Derivative of Radial Functions in Interpolation Problems

  • Anthony Torres-Hernandez,
  • Fernando Brambila-Paz and
  • Rafael Ramirez-Melendez

This paper presents the construction of a family of radial functions aimed at emulating the behavior of the radial basis function known as thin plate spline (TPS). Additionally, a method is proposed for applying fractional derivatives, both partially...

  • Article
  • Open Access
6,967 Views
10 Pages

Some Insights into the Sierpiński Triangle Paradox

  • Miguel-Ángel Martínez-Cruz,
  • Julián Patiño-Ortiz,
  • Miguel Patiño-Ortiz and
  • Alexander S. Balankin

We realize that a Sierpiński arrowhead curve (SAC) fills a Sierpiński gasket (SG) in the same manner as a Peano curve fills a square. Namely, in the limit of an infinite number of iterations, the fractal SAC remains self-avoiding, such that...

  • Article
  • Open Access
15 Citations
6,753 Views
26 Pages

In this paper, we consider an approximation of the Caputo fractional derivative and its asymptotic expansion formula, whose generating function is the polylogarithm function. We prove the convergence of the approximation and derive an estimate for th...

  • Article
  • Open Access
77 Citations
6,132 Views
16 Pages

The present paper introduces a new class of generalized differential and integral operators. This class includes and generalizes a large number of definitions of fractal-fractional derivatives and integral operators used to model the complex dynamics...

  • Article
  • Open Access
11 Citations
5,755 Views
24 Pages

Some Certain Fuzzy Fractional Inequalities for Up and Down -Pre-Invex via Fuzzy-Number Valued Mappings

  • Muhammad Bilal Khan,
  • Adriana Catas,
  • Najla Aloraini and
  • Mohamed S. Soliman

In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals to establish the Hermite–Hadamard-, Fejér-, and Pachpatte-type inequali...

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Fractal Fract. - ISSN 2504-3110