International Journal of Systems Science and Applied Mathematics

Volume 6, Issue 4, December 2021

  • Solution of Nonlinear Fractional Differential Equations Using Adomain Decomposition Method

    Eman Ali Ahmed Ziada

    Issue: Volume 6, Issue 4, December 2021
    Pages: 111-119
    Received: Sep. 19, 2021
    Accepted: Oct. 14, 2021
    Published: Oct. 28, 2021
    Abstract: In this paper, Adomian decomposition method (ADM) will apply to solve nonlinear fractional differential equations (FDEs) of Caputo sense. These type of equations is very important in engineering applications such as electrical networks, fluid flow, control theory and fractals theory. ADM give analytical solution in form of series solution so the co... Show More
  • Circular Distance-Two Labelling of Book Graphs Related to Code Assignment in Computer Wireless Networks

    Yu Guo, Qiong Wu

    Issue: Volume 6, Issue 4, December 2021
    Pages: 120-124
    Received: Oct. 07, 2021
    Accepted: Nov. 01, 2021
    Published: Nov. 10, 2021
    Abstract: Let d be a positive real number. An L(1,d)-labeling of a graph G is an assignment of nonnegative real numbers to the vertices of G such that the adjacent vertices are assigned two different numbers (labels) whose difference is at least one, and the difference between numbers (labels) for any two distance-two vertices is at least d. The minimum rang... Show More
  • Topological Structure of Fuzzy PU-new Ideal in PU-algebra

    Muhammad Shafiq, Naveed Sheikh, Dawood Khan

    Issue: Volume 6, Issue 4, December 2021
    Pages: 125-130
    Received: Nov. 06, 2021
    Accepted: Dec. 17, 2021
    Published: Dec. 31, 2021
    Abstract: In this manuscript, we consider the fuzzification of the notion PU-new ideal of PU-algebra and define the fuzzy topological terms such that fuzzy topology, τ-open fuzzy set, fuzzy neighborhood, fuzzy interior, sequence of fuzzy sets, fuzzy neighborhood system, fuzzy continuity of a function with respect to PU-new ideal of PU-algebra. We explore the... Show More