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Mathematics, Volume 7, Issue 11

November 2019 - 130 articles

Cover Story: The Wiener index is the oldest and most-studied topological index in chemistry. However, at present, there is no exact description of fullerenes with a maximum index value. In our paper, we took several steps in this direction. In particular, configurations of pentagons in caps are determined for some families of nanotubical fullerenes with the maximum Wiener index. View this paper.
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Articles (130)

  • Article
  • Open Access
1 Citations
2,374 Views
11 Pages

19 November 2019

We develop the two-parameter version of an arc-sine law for a last hitting time. The existing arc-sine laws are about a stochastic process X t with one parameter t. If there is another varying key factor of an event described by a process, th...

  • Article
  • Open Access
4 Citations
3,102 Views
21 Pages

19 November 2019

We introduce a class consisting of what we call quasi-periodic limit functions and then establish the relation between quasi-periodic limit functions and asymptotically quasi-periodic functions. At last, these quasi-periodic limit functions are appli...

  • Article
  • Open Access
54 Citations
5,181 Views
21 Pages

Discrete Mutation Hopfield Neural Network in Propositional Satisfiability

  • Mohd Shareduwan Mohd Kasihmuddin,
  • Mohd. Asyraf Mansor,
  • Md Faisal Md Basir and
  • Saratha Sathasivam

19 November 2019

The dynamic behaviours of an artificial neural network (ANN) system are strongly dependent on its network structure. Thus, the output of ANNs has long suffered from a lack of interpretability and variation. This has severely limited the practical usa...

  • Article
  • Open Access
2 Citations
2,302 Views
11 Pages

18 November 2019

An initial boundary value problem for a fractional in time and space shallow-water system involving ψ -Caputo fractional derivatives of different orders is considered. Using the test function method, sufficient criteria for the absence of gl...

  • Article
  • Open Access
11 Citations
5,231 Views
14 Pages

Analysis of Queueing System MMPP/M/K/K with Delayed Feedback

  • Agassi Melikov,
  • Sevinj Aliyeva and
  • Janos Sztrik

18 November 2019

The model of multi-channel queuing system with Markov modulated Poisson process (MMPP) flow and delayed feedback is considered. After the customer is served completely, they will decide either to join the retrial group again for another service (feed...

  • Article
  • Open Access
23 Citations
3,442 Views
25 Pages

Long Term Memory Assistance for Evolutionary Algorithms

  • Matej Črepinšek,
  • Shih-Hsi Liu,
  • Marjan Mernik and
  • Miha Ravber

18 November 2019

Short term memory that records the current population has been an inherent component of Evolutionary Algorithms (EAs). As hardware technologies advance currently, inexpensive memory with massive capacities could become a performance boost to EAs. Thi...

  • Article
  • Open Access
18 Citations
2,681 Views
12 Pages

Common Fixed Point Results for Generalized Wardowski Type Contractive Multi-Valued Mappings

  • Hüseyin Işık,
  • Vahid Parvaneh,
  • Babak Mohammadi and
  • Ishak Altun

18 November 2019

In this paper, we introduce generalized Wardowski type quasi-contractions called α - ( φ , Ω ) -contractions for a pair of multi-valued mappings and prove the existence of the common fixed point for such mappings. An illust...

  • Article
  • Open Access
6 Citations
2,661 Views
12 Pages

17 November 2019

In this article we have developed a new explicit four-step linear method of fourth algebraic order with vanished phase-lag and its first derivative. The efficiency of the method is tested by solving effectively the one-dimensional time independent Sc...

  • Article
  • Open Access
10 Citations
2,985 Views
17 Pages

17 November 2019

In this work, we investigate the generalized Hyers-Ulam stability of the Apollonius type additive functional equation in modular spaces with or without Δ 2 -conditions. We study the same problem in fuzzy Banach spaces and β -ho...

  • Article
  • Open Access
4 Citations
3,564 Views
25 Pages

17 November 2019

In this paper, we target the problems of finding a global minimum of nonlinear and stochastic programming problems. To solve this type of problem, we propose new approaches based on combining direct search methods with Evolution Strategies (ESs) and...

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Mathematics - ISSN 2227-7390