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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
3 Citations
2,332 Views
11 Pages

16 November 2019

In this study, our goal is to apply a new fixed point method to prove the Hyers-Ulam-Rassias stability of a quadratic functional equation in normed spaces which are not necessarily Banach spaces. The results of the present paper improve and extend so...

  • Article
  • Open Access
17 Citations
11,142 Views
16 Pages

16 November 2019

Finding the roots of an equation is a fundamental problem in various fields, including numerical computing, social and physical sciences. Numerical techniques are used when an analytic solution is not available. There is not a single algorithm that w...

  • Article
  • Open Access
1 Citations
2,224 Views
28 Pages

16 November 2019

Here we present weighted fractional Iyengar type inequalities with respect to L p norms, with 1 ≤ p ≤ ∞ . Our employed fractional calculus is of Caputo type defined with respect to another function. Our results provide quan...

  • Article
  • Open Access
46 Citations
4,619 Views
18 Pages

Sine-Cosine Algorithm to Enhance Simulated Annealing for Unrelated Parallel Machine Scheduling with Setup Times

  • Hamza Jouhari,
  • Deming Lei,
  • Mohammed A. A. Al-qaness,
  • Mohamed Abd Elaziz,
  • Ahmed A. Ewees and
  • Osama Farouk

16 November 2019

This paper presents a hybrid method of Simulated Annealing (SA) algorithm and Sine Cosine Algorithm (SCA) to solve unrelated parallel machine scheduling problems (UPMSPs) with sequence-dependent and machine-dependent setup times. The proposed method,...

  • Article
  • Open Access
3 Citations
3,392 Views
12 Pages

16 November 2019

We consider the problem of short term immunization of a bond-like obligation with respect to changes in interest rates using a portfolio of bonds. In the case that the zero-coupon yield curve belongs to a fixed low-dimensional manifold, the problem i...

  • Article
  • Open Access
1 Citations
2,739 Views
10 Pages

Optimal Propagating Fronts Using Hamilton-Jacobi Equations

  • Angelo Alessandri,
  • Patrizia Bagnerini,
  • Roberto Cianci and
  • Mauro Gaggero

16 November 2019

The optimal handling of level sets associated to the solution of Hamilton-Jacobi equations such as the normal flow equation is investigated. The goal is to find the normal velocity minimizing a suitable cost functional that accounts for a desired beh...

  • Article
  • Open Access
17 Citations
4,494 Views
18 Pages

16 November 2019

Renewable energy is an attractive solution for water pumping systems particularly in isolated regions where the utility grid is unavailable. An attempt is made to improve the performance of solar photovoltaic water pumping system (SPVWPS) under parti...

  • Article
  • Open Access
7 Citations
2,567 Views
15 Pages

15 November 2019

We establish sufficient conditions for the existence of solutions for a nonlinear impulsive multi-order Caputo-type generalized fractional differential equation with infinite delay and nonlocal generalized integro-initial value conditions. The existe...

  • Article
  • Open Access
2 Citations
2,605 Views
9 Pages

15 November 2019

To use the short iterative Lanczos algorithm to solve the time-dependent Schroedinger equation, one must choose, for a given Lanczos space size, a time step. We compare the derivation of the well-known Lubich and Hochbruck time step from SIAM J. Nume...

  • Article
  • Open Access
9 Citations
3,804 Views
12 Pages

15 November 2019

In this paper, we determine the upper and lower bound for the total domination number and exact values and the upper bound for the double-total domination number on hexagonal grid H m , n with m hexagons in a row and n hexagons in a column....

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Mathematics - ISSN 2227-7390