Preface: Special issue on differential equations, fuzzy analysis, graph theory and applied mathematics

Abstract

This special issue ``Differential Equations, Fuzzy Analysis, Graph Theory and Applied Mathematics", dedicated to first National Conference on Fractional Calculus Theory and Applications, Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi-600062, Tamil Nadu, India, March 27$^{th}$ \& 28$^{th}$, 2020, contains papers on various topics in pure and applied mathematics including, in particular, such areas as differential equations, fuzzy analysis, rings, graph theory and some applied problems. It is generally recognized that current applied scientific research is deeply entwined with pure mathematics fields such as functional analysis, differential equations, and graph theory. As a result, the methods and outcomes of these fields are essential tools in the study of a wide range of issues in applied sciences. The growing complexity of mathematical models in applications necessitates the use of more sophisticated mathematical tools. This motivates researchers to explore for new relationships and/or descriptions in mathematical models of the events under investigation that might lead to model improvement.On the one hand, significant advances in functional analysis lead to advancements in the theory of differential equations as mathematical models in applied sciences, and thus to the development of applications. Graphs may also be used to model a wide range of physical, biological, social, and information system relationships and processes. Many practical problems can be represented by graphs. Emphasizing their application to real-world systems, the term network is sometimes defined to mean a graph in which attributes (e.g. names) are associated with the vertices and edges, and the subject that expresses and understands the real-world systems as a network is called network science. The topics presented in this issue are related to differential equations, fuzzy analysis, graph theory and applied mathematics etc. In the course of its study, one naturally feels the need for studying mathematical techniques in various engineering and allied fields. Some are invited papers.