Applied Mathematics

This paper introduces the new form of set namely Fineutro set and lays a foundation to discuss its behavior. Also we have defined Fineutro topological spaces.

In this paper inf – j composition (where j refers to a t- conorm) and sup- uj composition are defined. Relation between inf- j and sup- ujcompositions are established. Theorems are proved that express the basic properties of inf- j and sup- ujcomposition

For many of us, the concept of pollution is limited to nature and resources. However, noise that tends to disturb the natural sythms of life makes for one solid pollutant noise takes place when there is either exercise amount of noise or an unpleasant sound that causes temporary disruption in the natural balance. Large number of vehicle on road produce heavy noise and people get it difficult to get accustomed to that the high noise leads to different health problems like hearing problems, health issues sleeping disorders etc. the present work discusses the fundamentals of acoustics and analysis of vehicular traffic noise. A large number of sets of data were recorded at different dates in a random manner in order to account for statistical temporal variations in traffic flow conditions.

In this article we introduce different proofs to the total sum of special sequences given by muslem mathematicians during the golden age of Islamic civilization

The present paper discusses an approximate solution of the Burger’s equation arising in longitudinal dispersion phenomenon in groundwater flow. In the porous medium pure water, salt water or contaminated water disperse in longitudinal direction gives rise to a non-linear partial differential equation in the form of Burger’s equation. The equation is solved by the optimal homotopy analysis method. The longitudinal dispersion phenomenon may be miscible or immiscible fluid flow through porous media. The problem of miscible displacement can be seen in the coastal areas, where fresh water beds are gradually displaced by sea water. Longitudinal dispersion phenomenon plays an important role to control salinity of the soil in seashore region. The governing non-linear Burger’s equation has been solved by optimal homotopy analysis method and the numerical and graphical representations have been given.

In this paper we have extended generalized finite Hankel transform in [2] with the use of Zemanian’s technique related to the transformations arising from orthonormal series expansions (see [6]). Inversion formula, characterization theorem and application of differential operator in solving certain type of differential equations have been established.

This investigation is undertaken to study the numerical solution of a two-dimensional, steady, incompressible electrically conducting, laminar free convection boundary layer flow of a continuously moving vertical porous plate in the presence of transverse magnetic field, heat generation and viscous dissipation. The basic equations governing the flow are in the form of partial differential equations and have been reduced to a set of non-linear ordinary differential equations by applying suitable similarity transformations. The problem is solved numerically using shooting techniques with the fourth order Runge-Kutta method. Comparisons with previously published work are performed and are found to be in an excellent agreement. The physical behavior of different parameters for velocity, temperature and concentration has been examined graphically and analyzed quantitatively.

In this paper, in order to show some interesting phenomena of fourth-order hyperchaotic autonomous electric circuit with a smooth cubic nonlinearity, different kinds of attractors, time waveforms and corresponding power spectra of systems are presented, respectively. The perturbation transforms an unpredictable hyperchaotic behavior into a predictable hyperchaotic or periodic motion via stabilization of unstable, aperiodic, or periodic orbits of the strange hyperchaotic attractor. One advantage of the method is its robustness against noise. A theoretical analysis of the circuit equations is presented, along with experimental simulation and numerical results.

In this Paper, we introduce the notions of (m, n)-Upper Q- fuzzy subgroups, studied some properties of them and discussed the product of them.

Tarig transform, whose fundamental properties are presented in this paper, is little known and not widely used .Here Tarig transform used to solve ordinary differential equation with variable coefficients without resorting to a new frequency domain.