# Category: Issue 3

M.H. MUDDEBIHAL and NAILA ANJUM
Department of Mathematics Gulbarga University Gulbarga Karnataka India

Email:-mhmuddebihal@yahoo.co.in

ABSTRACT:

Let be a connected graph. The litact graph m(G) of a graph G is the graph whose vertex set is the union of the set of edges and the set of cut vertices of G in which two vertices are adjacent if and only if the corresponding members of G are adjacent or incident. A dominating set D of m (G) is called a connected dominating set of m (G) if the induced subgraph is connected. The minimum cardinality of D is called the connected domination number of m (G) and is denoted by . In this paper, we initiate a study of this parameter. We obtain many bonds on in terms of vertices, edges and different parameters of G and not the members of m (G). Further we determine its relationship with other domination parameters.

KEYWORDS: Litact graph, domination number, connected domination number. Subject classification number:AMS -05C69,05C70

Let be a connected graph. The litact graph m(G) of a graph G is the graph whose vertex set is the union of the set of edges and the set of...

*R.K. DAS, **R. PRASAD and ***BARKHA RANI
*Post Graduate Department of Mathematics SKM University Dumka

**Sahibganj College Sahiibganj Jharkhand India

***Research Scholar S.K.M University Dumka Jharkhand India

ABSTRACT:

In this paper fuzzy setting concepts pf some universal objects like fuzzy products, fuzzy equalising objects, fuzzy retreat objects and their duals have been through continuous mappings for fuzzy topological spaces, Their various properties are also studied.

KEYWORDS: Fuzzy topological space, Fuzzy product, Equalising, fuzzy object, fuzzy retreat and duals

In this paper fuzzy setting concepts pf some universal objects like fuzzy products, fuzzy equalising objects, fuzzy retreat objects and their duals have been through continuous mappings for fuzzy topological spaces, Their...

DHARMENDRA and N. K. VARSHNEY
Department of Mathematics S.V College Aligarh UP India

ABSTRACT:

A study of the effect of stratified Rivlin-Ericksen fluid on MHD free convection flow past a vertical porous plate with heat and mass transfer and neglecting induced magnetic field in comparison to applied magnetic field is investigated. The velocity, temperature and concentration distributions are derived and discussed numerically with the helps of graphs and tables. It is observed that velocity increases with the increase in Gr (Grashof number) and K (Permeability parameter), but it decreases with the increase in M(Magnetic parameter). The velocity increases with the increase in Visco-elastic parameter) up to y = 2, then decreases.

KEYWORDS: Heat and mass transfer, Free convection, MHD flow, Porous medium, Vertical plate, Stratified Rivlin-Ericksen fluid.

A study of the effect of stratified Rivlin-Ericksen fluid on MHD free convection flow past a vertical porous plate with heat and mass transfer and neglecting induced magnetic field in comparison...

MANOJ GARG
Department of Mathematics Nehru PG college Chhibramau Kannauj UP India

Email:-garg-manoj1972@yahoo.co.in

ABSTRACT:

In this paper a fixed point theorem on n metric spaces is proved. This theorem generalizes and extends the results obtained1-3 in from three and four metric spaces to n metric spaces.

KEYWORDS: fixed point, metric space, complete metric space. Mathematical Subject Classification: 47H10, 54H25.

In this paper a fixed point theorem on n metric spaces is proved. This theorem generalizes and extends the results obtained1-3 in from three and four metric spaces to n metric...

ANJANA SINGH1 and P.K. MATHUR2
1Department of mathematicsRajeev Gandhi Engineering College Salaiya Kolar Bhoapl India

2Department of Mathematics saifia Science College Bhoapl India

ABSTRACT:

The object of this paper is to obtain an exact solution for the simultaneous dual series equations involving the product of ‘r’ generalized Batman- k functions by multiplying factor technique.

KEYWORDS: 45F 10 Dual Series Equations, 33C45 Bateman- k function, 33D45 Basic Orthogonal polynomials and functions, 42C05 Orthogonal functions and polynomials, General Theory, 26A33 FractionalDerivatives and Integrals, 33B 15 Beta function, 34BXX Boundary value problem.

The object of this paper is to obtain an exact solution for the simultaneous dual series equations involving the product of ‘r’ generalized Batman- k functions by multiplying factor technique.

R.K. BHIMTE* and S.K.BHATT**
*Govt SGSPG College GanjbasodaMP India

**Govt.NPG College of Science Raipur CG India

ABSTRACT:

This article is an investigation of Mathematics from the point of view of Application of Mathematics for Modelling.

KEYWORDS: Model, Modelling, Mathematical Modelling

This article is an investigation of Mathematics from the point of view of Application of Mathematics for Modelling.

VISHNU DEV TRIPATHI and H.D. PANDE
Departments of mathematics & Statistics D.D.U gorkpur University Gorakhpur UP India

ABSTRACT:

We present a general class of inhomogeneous cosmological models filled with perfect magneto fluid by assuming that the background space-time admits two space-like commuting killing vectors and has separable metric coefficients. The singularity structure of these models depends on the choice of the parameters and the metric functions. A number of previously known perfect fluid models follow as particular cases of this general class. Physical and geometrical features of these models are studied.

KEYWORDS: Magneto Fluid

We present a general class of inhomogeneous cosmological models filled with perfect magneto fluid by assuming that the background space-time admits two space-like commuting killing vectors and has separable metric coefficients. The...

1MALIK, S. S. and 2SHARMA, KUSUM
1IEC University Baddi Solan Himachal Pradesh India

2MITS Deemed University Laxmangarh Rajasthan India

Email:- shamsher15malik@live.in

ABSTRACT:

In this paper, we introduce a new algorithm, which produce a system of equations of low dimension, suitable for linear and non- linear Fractional Differential Equations (FDE).

KEYWORDS: Fractional Differential Equation

In this paper, we introduce a new algorithm, which produce a system of equations of low dimension, suitable for linear and non- linear Fractional Differential Equations (FDE).

VISHNU NARAYAN MISHRA, KEJAL KHATRI and L. N. MISHRA*
Department of Applied Mathematics and Humanities Sardar Vallabhbhai National Institute of Technology Ichchhanath Mahadev Road Surat 395007 India

Dr Ram Manohar Lohia Avadh University Hawai Patti Allahabad Faizabad India

Email:-vishnu_narayanmishra@yahoo.co.in Email:- lakshminaryanmishra04@gmail.com

ABSTRACT:

The aim of the present paper is to introduce and study the mixed summation-integral type operators having Baskakov and Beta basis functions in summation and integration, respectively. First, we estimate moments of these operators using hypergeometric series. Next, we obtain the basic point-wise convergence, a Voronovskaja type asymptotic formula.

KEYWORDS: Hypergeometric series, Baskakov-Durrmeyer- Stancu operators, Voronvoskaja type asymptotic formula. 2000 Mathematics Subject Classification: 41A25, 41A35.

The aim of the present paper is to introduce and study the mixed summation-integral type operators having Baskakov and Beta basis functions in summation and integration, respectively. First, we estimate moments of...

R. BALAKRISHNAN1 and S. SEYADALI FATHIMA2
1Department of Mathematics V.O Chidambaram College ThoothukudiTamilnadu India

2Department of Mathematics Sadakadhullah Appa College , Tirunelveli Tamil Nadu India

ABSTRACT:

In this paper we introduce the concepts of 1 S -near subtraction semigroups, that is near subtraction semigroups X satisfying the condition: for every a  X there exists x  X {0} such that axa  xa. We also discuss some of their properties and obtain certain characterisation theorems

KEYWORDS: S -near subtraction semigroup, nil near subtraction semigroup, mate function, nilpotents, idempotents. Mathematics Subject Classification: 06F35.

In this paper we introduce the concepts of 1 S -near subtraction semigroups, that is near subtraction semigroups X satisfying the condition: for every a  X there exists x ...