Journal of Mathematics has recently been accepted into Science Citation Index Expanded and will receive its first Impact Factor in 2020.Go to Table of Contents
Journal of Mathematics is a broad scope journal that publishes original research and review articles on all aspects of both pure and applied mathematics.
Chief Editor, Professor Jen-Chih Yao, is currently based at National Sun Yat-sen University in Taiwan. His current research includes dynamic programming, mathematical programming, and operations research.
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Zero Divisor Graph of a Lattice and Its Unique Ideal
Let L be a lattice with the least element 0. Let be the finite set of atoms with and be the zero divisor graph of a lattice L. In this paper, we introduce the smallest finite, distributive, and uniquely complemented ideal B of a lattice L having the same number of atoms as that of L and study the properties of and .
A Group Theory Approach towards Some Rational Difference Equations
A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.
The Connected Detour Numbers of Special Classes of Connected Graphs
Simple finite connected graphs of vertices are considered in this paper. A connected detour set of is defined as a subset such that the induced subgraph is connected and every vertex of lies on a detour for some . The connected detour number of a graph is the minimum order of the connected detour sets of . In this paper, we determined for three special classes of graphs , namely, unicyclic graphs, bicyclic graphs, and cog-graphs for , , and .
Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations
In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. Numerical evaluations are included to demonstrate the validity and applicability of this technique.
A Mathematical Modelling for Workflows
A mathematical heuristic model was proposed to analyze the flow of information in administrative workflows. The model starts from a conceptual analysis from the perspective of probabilistic systems, information theory, and information entropy. The main parameters of the analysis are to identify theoretically a workflow as a hybrid dynamic system where the probabilistic distribution of the information, the time of information processing, and the precision with which the workflow is executed are caused by the cognitive performance of agents within a complex adaptive system. The model of analysis provides support for the search for empirical evidence in workflow investigations, highlighting the presence or absence of agent ad hoc methods and their influence on firm’s productivity.
On Mixed Equilibrium Problems in Hadamard Spaces
The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent and a -convergence of the proximal point algorithm to a solution of the mixed equilibrium problem under some suitable conditions. Furthermore, we study the asymptotic behavior of the sequence generated by a Halpern-type PPA. Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. Our results extend and unify some related results in the literature.