Academic Journal of Applied Mathematical Sciences

Online ISSN: 2415-2188
Print ISSN: 2415-5225

Quarterly Published (4 Issues Per Year)


Volume 2 Number 8 August 2016

Felicitous Labelings of Some Graphs

Authors: V. Lakshmi Alias Gomathi
Pages: 93-97
A felicitous labeling of a graph G, with q edges is an injection  f : V(G) → {0, 1, 2,. . . , q} so  that  the  induced  edge  labels   f *(xy)  = (f(x) + f(y)) (mod q) are distinct.

On Nonlocal Initial Problems for Fuzzy Differential Equations and Environmental Pollution Problems

Authors: Nguyen Dinh Phu
Pages: 77-92
We present the properties of fuzzy solutions of the nonlocal initial problems for fuzzy differential equations under generalized Hukuhara differentiability (NIP for FIDEs) by the point of view of Hausdorff metric space, for example, existence, uniqueness, boundedness, ...  and stability of solutions. The different types of solutions NIP for  FDEs are generated by the usage of two different concepts of fuzzy derivative in the formulation of a differential problems. The examples are given to illustrate these results.