Galoitica: Journal of Mathematical Structures and Applications

In this paper we study Bäcklund transformations (BTs) for Cosgrove’s equation F-XVIII. We use the generalization of Fokas and Ablowitz method to derive BT between F-XVIII and new fourth-order ordinary differential equations of Painlevé type. Moreover we derive auto-BT and give special solutions for F-XVIII.  

In this paper, we introduce the concept of fuzzy semi-essential (large) submodule, and we study a necessary and sufficient condition for a fuzzy submodule of a fuzzy module to be a fuzzy semi-essential (large) submodule, also fuzzy images and fuzzy inverse-images of generalized fuzzy semi-essential (large) submodule are studied. Index Terms

The main goal of this paper is to review the concepts of symbolic 2-plithogenic number theoretical concepts and algebraic equations, where many foundational concepts such as congruencies and linear equations and Diophantine linear equations.

In this paper, many entropy measures of noncentral Fisher distribution were driven including Shannon, Renyi, Sharma, Havrda, Arimoto and Tsallis. A comparison between these entropies was made according to distribution’s shift parameter, distribution’s degrees of freedom, shape parameter and truncation parameter. The entropy that had less relative loss was said to be better than the other. There were significant differences according to all studied parameters except the shift parameter and we found that the best entropy of the mentioned entropies for noncentral Fisher distribution was Renyi entropy.

The objective of this paper is to give a good review about the 2-plithogenic algebraic structures. Three kinds of algebraic structures will be revisited and discussed, symbolic 2-plithogenic rings, symbolic 2-plithogenic vector spaces, and 2-plithogenic modules.