Journal of Mathematics has recently been accepted into Science Citation Index Expanded.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 Zhejiang Normal University in China. His current research includes dynamic programming, mathematical programming, and operations research.
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Nonlocal Conformable-Fractional Differential Equations with a Measure of Noncompactness in Banach Spaces
This paper deals with the existence of mild solutions for the following Cauchy problem: , where is the so-called conformable fractional derivative. The linear part A is the infinitesimal generator of a uniformly continuous semigroup on a Banach space X, f and are given functions. The main result is proved by using the Darbo–Sadovskii fixed point theorem without assuming the compactness of the family and the Lipshitz condition on the nonlocal part .
New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization
This article considers modified formulas for the standard conjugate gradient (CG) technique that is planned by Li and Fukushima. A new scalar parameter for this CG technique of unconstrained optimization is planned. The descent condition and global convergent property are established below using strong Wolfe conditions. Our numerical experiments show that the new proposed algorithms are more stable and economic as compared to some well-known standard CG methods.
-Continuous Multifunctions on Bitopological Spaces
The purpose of this paper is to introduce the concepts of -continuous multifunctions and almost -continuous multifunctions. Moreover, some characterizations of -continuous multifunctions and almost -continuous multifunctions are investigated.
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 .