Papers

¹Department of Mathematics University of Rajasthan Jaipur India

²Department of Mathematics Rajasthan Institute of Engineering & Technology Bhankrota Jaipur India

Aim of the paper is to investigate the effect of mass transfer on unsteady mixed convective flow of a viscous incompressible fluid with foreign mass, past an infinite vertical porous plate bounded with porous medium in the presence of periodic suction, constant heat source, free stream and oscillatory wall temperature.The transverse suction at the plate oscillates with time about a constant mean. The governing equations of continuity ,motion, energy and mass diffusion are solved using successive perturbation and variable separation techniques .The velocity ,temperature and mass distributions are derived, discussed numerically and shown through graphs. The skin-fiction coefficient, Nusselt number and Sherwood number at the plate are derived, discussed numerically and shown through graphs.

¹Research Schola SCSVMV University Kancheepuram

²Reader and Head, P.G. and Research Department of Mathematics D.G. Vaishnav College Chennai India

¹Email:- ggajenran@gmail.com

 In this paper, the artificial neural network with back propagation simulates the solution of fuzzy Cauchy differential equations of first order. Theoretical consideration is discussed and some examples are presented to show the ability of the method for fuzzy Cauchy differential equations. The C - execution is used for artificial neural network with back propagation algorithm.

Department of Mathematics, Dr. bdasaheb Ambedkar Technological University, Lonere-DistRaigad M.S. India

Email:brijbhansingh@yahoo.com

This paper deals with the Oscillating solutions of the two-dimensional laminar boundary layer problem governing the flow past a wedge with slip velocity of an electrically conducting fluid in presence of a transverse magnetic field for a positive wedge angle B>0. It has been proved that forB>1, the problem governing the flow-field has a periodic solution. Also, for 2<B<2.05, the problem has two periodic solutions.

Department of Mathematics, Malaviya National Institute of Technology, Jaipur India

Email:- rashmiramessh1@gmail.com

In the present paper, we derive two new theorems involving generalized incomplete elliptic integral and generalized Hurwitz-Lerch zeta function. Besides the first theorem involves the product of general class of polynomial and multivariable H-function, the second involves the product of Fox's H-function and - function. Then we establish three new corollaries of our theorems. Next as an application of our theorems we obtain four new and interesting finite integrals involving several special functions notably confluent form of Appell function, Miller-Ross function, Whittaker function, reduced Green function, generalized Wright Bessel function. The integrals established in this paper may find applications in certain engineering problems.

¹Department of Mathematics, St Albert's college Ernakulam, Kochi Kerala India

²Department of Mathematics, B.C.M. College Kottayam-Kerala India

Email:-souriarsebastian@gmail.com

We introduce P- fuzzy ideals where P is a prime ideal of a commutative ring. We also investigate the properties of such ideals at the context when R is a Dedekind Domain and when R is a principal ideal domain. We prove that P- fuzzy ideals and -Primary ideals, which are generally different, are equivalent in a Dedekind domain.

Department of Studies and Research in Mathematics, GulbargaUniversity, Gulbarga Karnataka India

Email:-mchannakote@rediffmail.com

This paper is concerned with the effect of magnetic field on ureteral peristalsis. The flow is analyzed for a single traveling wave in an axisymmetric tube with an incompressible, Newtonian fluid. The wavelength of the traveling wave assumed to be large. Analytical expressions for the stream function, axial velocity, and pressure gradient have been obtained. The effect of various parameters on the flow is discussed with the help of graphs.

^1,2,4Jabatan matematik, Fakulti Sains Teknologi, Malaysia Universiti Malaysia Terenggannu (UMT) Kuala Terengganu, Terengganu Malaysia

³Pusat Pengajian Sains Matematik, Universiti Sains Malaysia (USM) 11800Minden Pulau Pinang malaysia

Logistic regression or logit model is used to predict the probability of occurrence of an event by fitting data to a logit function logistic curve. It is observed that this method is frequently used in social sciences, medical sciences, education sciences and many more. In this present paper, we study the properties of multiple logistic regression using real datasets and present the numerical results regarding to the findings.

Department of Mathematics, Guahati University Guwahati Assam India

Email:-r_pranjal@yahoo.com

The authors give the set theoretic (combinatorial) inter-pretation of different modulei in the infinite product, which are not available (derive identies related to modulus 11, 17, 19) in this form in the literature using multiple summations.

Department of Mathematics, St Mary's P.G.College, Vidisha M.P. India

*Deraprtment of Applied Mathematics and Computer Science, SATI Vidisha MP India

**UIT-RGPV Bhopal MP India

Email:-shailesh_jaloree@rediffmail.com

In the present paper, first we evaluate a new integral involving I-function of two variable defined by Goyal & Agrawal ¹ and a general class of polynomials defined by Srivastava ², then we make its application to solve a problem on heat conduction in a finite bar and to establish an expansion formula involving I-function of two variables.

¹Department of Mathematics & Statistics, University College of Science, Mohanlal Suhkadia University Udaipur India

²Department of Mathematics, Sir Padampat Singhania University, Udaipur India

Email:-dhichh@yaho.co.in

We have investigated homogeneous anisotropic Bianchi type IX cosmological model for perfect fluid distribution in General Relativity. For the complete determination of the model, we have assumed the condition a=bⁿbetween metric potentials, where n is constant. The various physical and geometrical aspects of the model are also discussed.