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Latest Published Articles

Oscillation behavior of second order nonlinear dynamic equation with damping on time scales

OMA-Vol. 2 (2018), Issue 2, pp. 78–88 | Open Access Full-Text PDF
Fanfan Li, Zhenlai Han
Abstract:In this paper, we use Riccati transformation technique to establish some new oscillation criteria for the second order nonlinear dynamic equation with damping on time scales $$(r(t)(x^\Delta(t))^\alpha)^\Delta-p(t)(x^\Delta(t))^\alpha+q(t)f(x(t))=0.$$ Our results not only generalize some existing results, but also can be applied to the oscillation problems that are not covered in literature. Finally, we give some examples to illustrate our main results.
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Different Approaches for the Synthesis of Zinc Oxide Nanoparticles

OJC-Vol. 1 (2018), Issue 1, pp. 19–25 | Open Access Full-Text PDF
Zaheer Ahmad, Farman Ullah Khan, Sajid Mahmood, Tariq Mahmood, Aisha Shamim
Abstract:In this work we have described the synthesis of Zinc Oxide nanoparticles through chemical and biological methods. For biological synthesis Aspargillus niger was used. The product obtained was characterized through different analytical techniques like XRD, SEM and EDX. The obtained results were matched with the literature. It was confirmed that the Zinc Oxide nanoparticles can also be prepared from Aspargillus niger.Which may be more ecofriendly and economical compared to other commonly used methods.
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Zero-Sum Flow Number of Some Grid Graphs

ODAM-Vol. 1 (2018), Issue 1, pp. 16–25 | Open Access Full-Text PDF
Muhammad Kamran Siddiqui, Muhammad Naeem, Muhammad Imran
Abstract:For an undirected graph \(G\), a zero-sum flow is an assignment of nonzero integers to the edges such that the sum of the values of all edges incident with each vertex is zero, and we call it a zero-sum \(k\)-flow if the absolute values of edges are less than \(k\). We define the zero-sum flow number of \(G\) as the least integer \(k\) for which \(G\) admitting a zero sum \(k\)-flow. In this paper we gave complete zero-sum flow and zero sum number for octagonal grid, generalized prism and book graph.
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Distance-based Indices Computation of Symmetry Molecular Structures

OMS-Vol. 2 (2018), Issue 1, pp. 323–337 Open Access Full-Text PDF
Li Yan, Mohammad Reza Farahani, Wei Gao
Abstract:Most of molecular structures have symmetrical characteristics. It inspires us to calculate the topological indices by means of group theory. In this paper, we present the formulations for computing the several distance-based topological indices using group theory. We solve some examples as applications of our results.
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On Graph Invariants of Oxide Network

EASL-Vol. 1 (2018), Issue 1, pp. 23–28 | Open Access Full-Text PDF
Muhammad Imran, Asima Asghar, Abdul Qudair Baig
Abstract:The application of graph theory in chemical and molecular structure research far exceeds people’s expectations, and it has recently grown exponentially. In the molecular graph, atoms are represented by vertices and bonded by edges. In this report, we study the several Zagreb polynomials and Redefined Zagreb indices of Oxide Network.
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BOOK-foundations-of-mathematical-analysis-and-semigroups-theory
BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC