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Axioms, Volume 8, Issue 4

December 2019 - 34 articles

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Articles (34)

  • Article
  • Open Access
5 Citations
2,644 Views
8 Pages

12 December 2019

This article is devoted to a class of nonassociative algebras with metagroup relations. This class includes, in particular, generalized Cayley–Dickson algebras. The separability of the nonassociative algebras with metagroup relations is investi...

  • Article
  • Open Access
1 Citations
3,930 Views
9 Pages

Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials

  • Giuseppe Dattoli,
  • Silvia Licciardi,
  • Rosa Maria Pidatella and
  • Elio Sabia

6 December 2019

Elementary problems as the evaluation of repeated derivatives of ordinary transcendent functions can usefully be treated with the use of special polynomials and of a formalism borrowed from combinatorial analysis. Motivated by previous researches in...

  • Article
  • Open Access
16 Citations
3,761 Views
9 Pages

5 December 2019

Applying Babenko’s approach, we construct solutions for the generalized Abel’s integral equations of the second kind with variable coefficients on R and R n , and show their convergence and stability in the spaces of Lebesgue integ...

  • Article
  • Open Access
3 Citations
4,678 Views
23 Pages

GRSA Enhanced for Protein Folding Problem in the Case of Peptides

  • Juan Frausto-Solís,
  • Juan Paulo Sánchez-Hernández,
  • Fanny G. Maldonado-Nava and
  • Juan J. González-Barbosa

4 December 2019

Protein folding problem (PFP) consists of determining the functional three-dimensional structure of a target protein. PFP is an optimization problem where the objective is to find the structure with the lowest Gibbs free energy. It is significant to...

  • Article
  • Open Access
22 Citations
3,288 Views
15 Pages

Exact Solutions for a Class of Wick-Type Stochastic (3+1)-Dimensional Modified Benjamin–Bona–Mahony Equations

  • Praveen Agarwal,
  • Abd-Allah Hyder,
  • M. Zakarya,
  • Ghada AlNemer,
  • Clemente Cesarano and
  • Dario Assante

3 December 2019

In this paper, we investigate the Wick-type stochastic (3+1)-dimensional modified Benjamin–Bona–Mahony (BBM) equations. We present a generalised version of the modified tanh–coth method. Using the generalised, modified tanh–coth method, white noise t...

  • Article
  • Open Access
5 Citations
3,138 Views
13 Pages

A Fast Multilevel Fuzzy Transform Image Compression Method

  • Ferdinando Di Martino,
  • Irina Perfilieva and
  • Salvatore Sessa

3 December 2019

We present a fast algorithm that improves on the performance of the multilevel fuzzy transform image compression method. The multilevel F-transform (for short, MF-tr) algorithm is an image compression method based on fuzzy transforms that, compared t...

  • Article
  • Open Access
5 Citations
4,001 Views
25 Pages

Synthetic Tableaux with Unrestricted Cut for First-Order Theories

  • Dorota Leszczyńska-Jasion and
  • Szymon Chlebowski

29 November 2019

The method of synthetic tableaux is a cut-based tableau system with synthesizing rules introducing complex formulas. In this paper, we present the method of synthetic tableaux for Classical First-Order Logic, and we propose a strategy of extending th...

  • Article
  • Open Access
4 Citations
3,015 Views
11 Pages

19 November 2019

We extend a technique recently introduced by Chen Zhuoyu and Qi Lan in order to find convolution formulas for second order linear recurrence polynomials generated by 1 1 + a t + b t 2 x . The case of generating functions containing...

  • Article
  • Open Access
8 Citations
2,858 Views
11 Pages

Global Analysis and the Periodic Character of a Class of Difference Equations

  • George E. Chatzarakis,
  • Elmetwally M. Elabbasy,
  • Osama Moaaz and
  • Hamida Mahjoub

15 November 2019

In biology, difference equations is often used to understand and describe life phenomenon through mathematical models. So, in this work, we study a new class of difference equations by focusing on the periodicity character, stability (local and globa...

  • Article
  • Open Access
10 Citations
2,911 Views
13 Pages

14 November 2019

In this work, we investigate the existence of solutions for the particular type of the eighth-order boundary value problem. We prove our results using classical version of Leray–Schauder nonlinear alternative fixed point theorem. Also we produc...

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Axioms - ISSN 2075-1680