1Yildiz Technical University Faculty of Chemical and Metallurgical Engineering Department of Mathematical Engineering Davutpasa Campus, 34220 Esenler, Istanbul, TURKEY
*2Yildiz Technical University Faculty of Arts and Sciences Department of Mathematics Davutpasa Campus, 34220 Esenler, Istanbul, TURKEY
Corresponding Author* E-mail: sayuce@yildiz.edu.tr
In this paper, we defined dual Pell quaternions. Also, we investigated the relations between dual Pell quaternions which connected with Pell and Pell-Lucas numbers. Furthermore, we gave the Binet formulas and Cassini-like identities for these quaternions.
Department of Mathematics, S.K.University, Anantapur, Andhra Pradesh, India
Email of Corresponding Author: rajumaths2010@gmail.com; rsprasad_racharla@yahoo.co.in
In this paper, we consider hydromagnetic convective flow of an electrically conducting visco-elastic fluid through a rotating porous channel taking hall current into account. The governing equations are framed using Brinkman model. The exact solutions of the velocity and the temperature distributions are evaluated analytically using Laplace transform technique and which consist of the both steady and transient states. Thought is centered on the physical character of the solutions, and the construction of the various kinds of boundary layers outward appearance on the plates. The ultimate steady state velocity and temperature distributions are numerically discussed for various values of the flow parameters. The shear stresses and the Nusselt number are tabulated and discussed.
1Department of Mathematics & Statistics, Bhupal Nobles’ University, Udaipur, India
2Department of Mathematics & Statistics, Mohanlal Sukhadia University, Udaipur, India
394, D.K. Devsthali, Bhopal, India
Email of Corresponding Author: dulawat_ms@rediffmail.com & chandrapal.singh1982@gmail.com
In this paper, we have presented a new method of construction of regular group divisible design. We also characterized a particular design of the series v = b =4 t+3, r=k+2 t+1, = t viz., v=b= 31, r=k=15, = 7 , considering nice block structure.
1Department of Mathematics & Statistics, Bhupal Nobles’ University, Udaipur, India
2Department of Mathematics & Statistics, Mohanlal Sukhadia University, Udaipur, India
394, D.K. Devsthali, Bhopal, India
Email of Corresponding Author: dulawat_ms@rediffmail.com & chandrapal.singh1982@gmail.com
This paper describes a new method of construction of triangular designs. Consequently, a new series of truly self-dual triangular design is obtained.
1CSIR Emeritus Scientist Department of Mathematics, University of Rajasthan, Jaipur-302004 (India)
2Department of Mathematics, ManipalUniversity, Jaipur India
Email of Corresponding Author: balir5@yahoo.co.in
Inflationary scenario in spatially homogeneous Bianchi Type IX space-time is investigated. To get the deterministic result, we have considered the potential V(ø) is constant and the scale factor R ~ eHt where H is Hubble constant. We findthat spatial volume (R3) increases exponentially. Thus inflationary scenario exists in Bianchi Type IX space time. The Higgs field decreases slowly. The expansion () is constant, shear () is zero and deceleration parameter (q) = - 1 which indicate that the model represents de-Sitter universe. The model also gives accelerating phase of the universe
Department of Mathematics V.S.S.D.P.G. College, Kanpur, India
Email of Corresponding Author: manjarivssd@gmail.com
The purpose of this paper is to introduce the notion of fuzzy pairwise R0 axiom in fuzzy bitopological spaces and study some of its properties. Several interesting results have been obtained viz. it satisfy hereditary, good extension, productive and projective properties
*Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam-612001, Tamilnadu, India
** PG and Research Department of Mathematics, Government Arts college Ariyalur
E-Mail of Corresponding Author :-gngseelan86@gmail.com
In this paper the concept of a Bipolar intuitionistic M fuzzy group and anti M fuzzy group is a new algebraic structure of a bipolar intuitionistic M fuzzy subgroup of a M fuzzy group and anti M fuzzy group are defined and related operators and level operators are investigated. The purpose of the study is to implement the fuzzy set theory and group theory of bipolar intuitionistic M fuzzy group and anti M fuzzy group. The relation between operation of level operators of bipolar intuitionistic M fuzzy group and bipolar intuitionistic anti M fuzzy group are established.