Undetermined coefficients for local fractional differential equations


Roshdi Khalil - Department of Mathematics, The University of Jordan, Amman, Jordan. Mohammed Al Horani - Department of Mathematics, Faculty of Science, University of Hail, Saudi Arabia. Douglas Anderson - Department of Mathematics, Concordia College, Moorhead, MN, USA.


Let \(G= (V, \sigma, \mu)\) be a fuzzy graph. Let \(H\) be the graph constructed from \(G\) as follows \(V(H) =V(G)\), two points \(u\) and \(v\) are adjacent in \(H\) if and only if \(u\) and \(v\) are adjacent and degree fuzzy equitable in \(G\). \(H\) is called the adjacency inherent fuzzy equitable graph of \(G\) or fuzzy equitable associate graph of G and is denoted by \(e^{ef}(G)\). In this paper we introduced the concept of fuzzy equitable associate graph and obtain some interesting results for this new parameter in fuzzy equitable associate graph.