Applied Mathematics

A left alternative ring R satisfying (x,y,z) + (y,z,x) +(z,x,y) = 0 is (1,0) ring. Where as if R satisfies (R,(R,R))=0 then R is called a strongly (1,0) ring. All (1,0) rings are not strongly (1,0) rings. But strongly (1,0) rings are (1,0) . In this paper, it will be proved that a prime (1,0) ring of characteristic 2,3 is either associative or strongly (1,0) ring.

In this paper, we have studied some of the properties of multi fuzzy rw-continuous mappings and multi fuzzy rw-irresolute mappings in multi fuzzy topological spaces and have proved some results on these. 2000 AMS SUBJECT CLASSIFICATION: 03F55, 08A72, 20N25.

Fracture is the major failure in sheet metal forming, and the selection of an appropriate material for a component still depends on designer’s experience and trial and error.  In order to ensure a component to be free from fracture, it is advantageous and gainful to use an analytical model to understand the influence of the material properties on the formability of the designed component before the component is put into production. The effect of the parameters m-value (yield equation constant), p - value  (exponential parameter involved in r- value), and r-value (plastic anisotropic ratio or radius of curvature of the neck)  on  non- linear , linear Forming Limit Stress Curves ( FLSCs)  and  Forming Limit Strain Curves ( FLCs)  are analysed using new yield  equation for Interstitial – Free (IF) steels  of different thickness. IF steel of thickness 0.6 mm is taken as IF steel (1) ,1.6 mm is taken as IF steel (2) and 0.85 (non-coated) is taken as IF steel (3) for convenience.

A steady two dimensional free convective flow of an electrically conducting and radiating micropolar fluid along an inclined flat plate is investigated, by taking variable electrical conductivity, uniform surface heat flux and mass flux into account. The governing partial differential equations are transformed into a system of ordinary differential equations, which are then solved numerically by a fourth order Runge-Kutta method along with shooting technique. A parametric study is conducted to illustrate the effects of the governing parameters namely, micro-inertia density parameter, vertex viscosity parameter, heat generation/absorption parameter, radiation parameter, Schmidt number and Prandtl number on the velocity, temperature and concentration as well as skin-friction coefficient, Nusselt number and Sherwood number.

In the present paper, we introduce two functions namely and in terms of K-function introduced recently by Sharma[9] and show their properties by using fractional integrals and derivatives. Results derived in this paper are the extensions of the results derived earlier by Shukla and Prajapati[2].

Modeling of steady magnetohydrodynamic viscous incompressible fluid flow through a porous medium between two disks rotating with same angular velocity about two non-coincident axes has been discussed taking into account the injection/suction, radiation and temperature dependent variable thermal conductivity. An exact solution of the governing equations has been obtained in a closed form by using perturbation along with dsolve Mat lab software tool to attain an analytical result for the velocity and the temperature profile. Analysis of the flow characteristics has been performed graphically by varying Hartmann number (M),I injection /suction parameter (?), permeability parameter (Kp), rotation parameter, Prandtl number (Pr), radiation parameter (R) and the variable thermal conductivity. The Skin friction coefficients are presented in pictorial from (11) to (16) and, discussed in detail.

The aim of the present paper is to obtain two summation formulae based on half argument involving hypergeometric function. The results derived in this paper are of general character and are believed to be new.

In this paper we derive the formulate for Tarig transform of partial derivatives and apply them to solve five types of initial value problems. Our purpose here is to show that the applicability of this interesting new transform and its effecting to solve such problems.

Soliton in an optical fiber, a fine example of the profound impact technology provides a mathematical concept in real-world. There soliton theory, the first in 1934 by John Scott Russell queries. Solitary waves in search of nature, as is done in the realm of speculation. Soliton waves may also exist in biological systems, so that in 1979, but Henry Tuck, who was then a member of the University of British Columbia equations to study the concentration of potassium and calcium in the modeling of the nervous system to filtrate. When the system is in a local increase in potassium can cause problems - which happened during the passage of a nerve stimulator is probable - that of the equations, and the calcium reduced the waves increased potassium in a single filtrate moving were foretold .In the near future, solitary waves can lead to innovations in technology.

Modes are idempotent and entropic algebras. It is well known that each entropic groupoid with surjective operation embeds as a sub reduct into a semimodule over a commutative semiring Surprisingly, this is no longer true for modes with operations of larger arity. As shown by M. Stronkowski [4] and [5], a mode embeds as a subreduct into a semimodule over a commutative semiring if and only if it satisfes the so-called Szendrei identities. A simpler proof was then given by D. Stanovsky [3]. Stronkowski also proved that free modes do not satisfy the Szendrei identities, while Stanovsky [3] pro- vided a 3-element example of a mode with one ternary operation (Example 1.1). Medial modes, a natural generalization of normal bands, were investigated by P lonka. Rectangular algebras, a generalization of rectangular bands (diagonal modes) were investigated by P¨oschel and Reichel.