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Mathematics, Volume 5, Issue 4

December 2017 - 38 articles

Cover Story: We investigate the solution of the integral equation describing the evolution of the intensity of the free electron laser. The method we propose employs a broader definition of the memory kernel derivative and is obtained by a generalization of the Volterra iteration procedure. The figures report the normalized intensity vs. the normalized frequency. View this paper
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Articles (38)

  • Feature Paper
  • Article
  • Open Access
31 Citations
5,987 Views
12 Pages

19 December 2017

The characteristic polynomial (ChP) has found its use in the characterization of chemical compounds since Hückel’s method of molecular orbitals. In order to discriminate the atoms of different elements and different bonds, an extension of the classic...

  • Article
  • Open Access
6 Citations
3,722 Views
27 Pages

15 December 2017

In this study, we consider codes over Euclidean domains modulo their ideals. In the first half of the study, we deal with arbitrary Euclidean domains. We show that the product of generator matrices of codes over the rings mod a and mod b produces gen...

  • Article
  • Open Access
5 Citations
3,180 Views
14 Pages

Hyperfuzzy Ideals in BCK/BCI-Algebras

  • Seok-Zun Song,
  • Seon Jeong Kim and
  • Young Bae Jun

14 December 2017

The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are dis...

  • Article
  • Open Access
4 Citations
4,061 Views
18 Pages

Global Analysis and Optimal Control of a Periodic Visceral Leishmaniasis Model

  • Ibrahim M. ELmojtaba,
  • Santanu Biswas and
  • Joydev Chattopadhyay

14 December 2017

In this paper, we propose and analyze a mathematical model for the dynamics of visceral leishmaniasis with seasonality. Our results show that the disease-free equilibrium is globally asymptotically stable under certain conditions when R 0 , th...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,579 Views
12 Pages

Convertible Subspaces of Hessenberg-Type Matrices

  • Henrique F. Da Cruz,
  • Ilda Inácio Rodrigues,
  • Rogério Serôdio,
  • Alberto Simões and
  • José Velhinho

13 December 2017

We describe subspaces of generalized Hessenberg matrices where the determinant is convertible into the permanent by affixing ± signs. An explicit characterization of convertible Hessenberg-type matrices is presented. We conclude that convertible matr...

  • Article
  • Open Access
17 Citations
3,971 Views
13 Pages

Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme

  • Mir Sajjad Hashemi,
  • Ali Akgül,
  • Mustafa Inc,
  • Idrees Sedeeq Mustafa and
  • Dumitru Baleanu

12 December 2017

We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These ap...

  • Article
  • Open Access
28 Citations
4,623 Views
16 Pages

8 December 2017

In this paper, some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation are deduced. We start with the Mellin-Barnes representation of the fundamental solution that was derived in the...

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Mathematics - ISSN 2227-7390