DSpace Collection:https://ir.vidyasagar.ac.in/jspui/handle/123456789/75242026-04-15T02:48:07Z2026-04-15T02:48:07Zγ-Separation Axioms on Fuzzy Soft 𝐓𝟐 SpaceIslam, R.Hossain, M. S.https://ir.vidyasagar.ac.in/jspui/handle/123456789/75332025-06-25T15:38:19Z2024-12-31T00:00:00ZTitle: γ-Separation Axioms on Fuzzy Soft 𝐓𝟐 Space
Authors: Islam, R.; Hossain, M. S.
Abstract: In this article we introduce the four new inferences of fuzzy soft T2 spaces by using the concept of fuzzy soft topological spaces. After that we present several new theories and some implications of such spaces. Finally, we observe that, all these notions preserve some soft invariance properties as 'Soft hereditary' and 'Soft topological' property.
Description: PP : 1-112024-12-31T00:00:00ZGalerkin Method for the Numerical Solution of One- Dimensional Differential Equations using Gegenbauer WaveletsAngadi, L. M.https://ir.vidyasagar.ac.in/jspui/handle/123456789/75322025-06-25T15:38:06Z2024-12-31T00:00:00ZTitle: Galerkin Method for the Numerical Solution of One- Dimensional Differential Equations using Gegenbauer Wavelets
Authors: Angadi, L. M.
Abstract: Differential equations are important because for many physical systems, one can, subject to suitable idealizations, formulate a differential equation that describes how the system changes in time. Understanding the solutions of the differential equation is then of paramount interest. Wavelet analysis is a new branch of mathematics widely applied in signal analysis, image processing, numerical analysis, etc. This paper presents the Galerkin method for the numerical solution of one-dimensional differential equations using weight functions are Gegenbauer wavelets (GWGM). The performance of the proposed method is better than that of the existing ones in terms of convergence. Some of the test problems are taken to demonstrate the validity and efficiency of the proposed method.
Description: PP : 13-222024-12-31T00:00:00ZA Note on the Diophantine Equation 3x + 63y = z2Biswas, Dibyenduhttps://ir.vidyasagar.ac.in/jspui/handle/123456789/75312025-06-25T15:37:44Z2024-12-31T00:00:00ZTitle: A Note on the Diophantine Equation 3x + 63y = z2
Authors: Biswas, Dibyendu
Abstract: Diophantine equations are gradually drawing attention in the study of hydrogen spectrum, eco- nomics, Biology, quantum Hall effect, chemistry, cryptography etc. Different types of schemes are employed to find solution of Diophantine equations. Some special types of Diophantine equations could be addressed with the help of Catalan’s conjecture and Congruence theory. The Diophantine equation is addressed in this paper to find the solution(s) in non-negative integers. It is found that the equation has only two solutions of as and in non-negative integers.
Description: PP : 23-272024-12-31T00:00:00ZA Characterization of Neutrosophic Hom-GroupAdebisi, S.A.Olayiwola, A.https://ir.vidyasagar.ac.in/jspui/handle/123456789/75302025-06-25T15:37:27Z2024-12-31T00:00:00ZTitle: A Characterization of Neutrosophic Hom-Group
Authors: Adebisi, S.A.; Olayiwola, A.
Abstract: Hom-groups are non-associative kinds of special and essential algebraic forms of some group structures. In actual fact, they represent the generalizations of some kinds of groups. These groups have a kind of characteristic features as well as special properties in which their associativity, as well as the unitality features, seem to be twisted, and this is just by a form of compatible bijective map. In this work, efforts are intensified to introduce neutrosophy into concepts of Hom – group. Furthermore, the basic properties involving the neutrosophic hom-groups and their subgroups with relevant examples are treated. This has been extended to some of the characterizations involving the neutrosophic Hom– groups. The hom-group can sometimes play special roles in the fields of physics, chemistry, and engineering as well as some other aspects of general physical sciences as required.
Description: PP : 29-342024-12-31T00:00:00Z