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Mathematics, Volume 7, Issue 10

October 2019 - 132 articles

Cover Story: We studied the homotopy analysis method as a tool for finding the exact and approximate solutions of integrodifferential equations, and we applied this method to determine the vibrations of freely supported reinforced concrete beam as well as to solve the equation of movement of the electromagnet jumper mechanical system. View this paper.
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Articles (132)

  • Article
  • Open Access
5 Citations
4,813 Views
18 Pages

Periodic Modification of the Boerdijk–Coxeter Helix (tetrahelix)

  • Garrett Sadler,
  • Fang Fang,
  • Richard Clawson and
  • Klee Irwin

22 October 2019

The Boerdijk–Coxeter helix is a helical structure of tetrahedra which possesses no non-trivial translational or rotational symmetries. In this document, we develop a procedure by which this structure is modified to obtain both translational and...

  • Article
  • Open Access
8 Citations
4,001 Views
24 Pages

22 October 2019

In this paper, we introduce and study a new three-parameter lifetime distribution constructed from the so-called type I half-logistic-G family and the inverted Kumaraswamy distribution, naturally called the type I half-logistic inverted Kumaraswamy d...

  • Article
  • Open Access
6 Citations
2,768 Views
14 Pages

22 October 2019

In this paper, approximation properties in Felbin fuzzy normed spaces are considered. These approximation properties are new concepts in Felbin fuzzy normed spaces. Definitions and examples of such properties are given and we make a comparative study...

  • Article
  • Open Access
13 Citations
2,995 Views
13 Pages

Strong Equality of Perfect Roman and Weak Roman Domination in Trees

  • Abdollah Alhevaz,
  • Mahsa Darkooti,
  • Hadi Rahbani and
  • Yilun Shang

21 October 2019

Let G = ( V , E ) be a graph and f : V ⟶ { 0 , 1 , 2 } be a function. Given a vertex u with f ( u ) = 0 , if all neighbors of u have zero weights, then u is called undefended with respect to f. Furthermore, if every vertex u wi...

  • Article
  • Open Access
1 Citations
2,576 Views
12 Pages

21 October 2019

Governments often support their preferences for decentralised (centralised) bureaucracies on the grounds of efficiency considerations (production side). Here, we consider the demand side, i.e., whether the government perception of citizens’ dem...

  • Article
  • Open Access
18 Citations
3,057 Views
12 Pages

A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method

  • Yun Jin,
  • Hecheng Wu,
  • Dechao Sun,
  • Shouzhen Zeng,
  • Dandan Luo and
  • Bo Peng

21 October 2019

As a generalization of several fuzzy tools, picture fuzzy sets (PFSs) hold a special ability to perfectly portray inherent uncertain and vague decision preferences. The intention of this paper is to present a Pearson’s picture fuzzy correlation...

  • Article
  • Open Access
14 Citations
2,901 Views
19 Pages

Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators

  • Arshad Ahmad Khan,
  • Muhammad Qiyas,
  • Saleem Abdullah,
  • Jianchao Luo and
  • Mahwish Bano

21 October 2019

The aim of this article is to propose the 2-tuple picture fuzzy linguistic aggregation operators and a decision-making model to deal with uncertainties in the form of 2-tuple picture fuzzy linguistic sets; 2-tuple picture fuzzy linguistic operators h...

  • Article
  • Open Access
15 Citations
3,135 Views
9 Pages

A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties

  • Hari Mohan Srivastava,
  • Asifa Tassaddiq,
  • Gauhar Rahman,
  • Kottakkaran Sooppy Nisar and
  • Ilyas Khan

20 October 2019

In this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the τ-Gauss hypergeometric function. The basic properties of the extended τ-Gauss hypergeometric function, including int...

  • Article
  • Open Access
33 Citations
5,755 Views
29 Pages

Efficient Dynamic Flow Algorithms for Evacuation Planning Problems with Partial Lane Reversal

  • Urmila Pyakurel,
  • Hari Nandan Nath,
  • Stephan Dempe and
  • Tanka Nath Dhamala

19 October 2019

Contraflow technique has gained a considerable focus in evacuation planning research over the past several years. In this work, we design efficient algorithms to solve the maximum, lex-maximum, earliest arrival, and quickest dynamic flow problems hav...

  • Article
  • Open Access
20 Citations
2,812 Views
11 Pages

Hybrid Contractions on Branciari Type Distance Spaces

  • Kamaleldin Abodayeh,
  • Erdal Karapınar,
  • Ariana Pitea and
  • Wasfi Shatanawi

19 October 2019

In this manuscript, we consider some hybrid contractions that merge linear and nonlinear contractions in the abstract spaces induced by the Branciari distance and the Branciari b-distance. More precisely, we introduce the notion of a ( p , c )...

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Mathematics - ISSN 2227-7390