Applied Mathematics

Heat and mass transfer effects on the unsteady flow of micropolar fluids embedded in a porous medium are studied by taking into the account of viscous dissipation with a homogeneous chemical reaction of the first order. Using the Galerkin finite element method the expressions for the velocity, microrotation, temperature and concentrations are obtained. The effect of material parameters such as Prandtl number Pr, Grashof number G, Modified Grashof number Gm, Schmidth number Sc, Eckert number Ec, the spin-gradient viscosity ?, the dimensionless viscosity ratio ?, the coefficient of gyro-viscosity or vortex viscosity ?, permeability of the porous medium K, Chemical reaction parameter , and time t. Further the results of Skin friction coefficient, the rate of heat transfer and mass transfer at the wall are presented with various values of fluid properties and flow conditions on the velocities, temperature and concentration are plotted in the graph and discussed. In the present analysis we study the effect of viscous dissipation on unsteady free convection flow of a laminar incompressible micropolar fluid with heat and mass transfer past a vertical porous plate embedded in a porous medium with chemical reaction.

In this paper, the new extended -expansion method is used for constructing the new exact traveling wave solutions of nonlinear evolution equations arising in mathematical physics namely, the (2+1)-dimensional modified Zakharov-Kuznetsov equation. As a result, the traveling wave solutions are expressed in terms of hyperbolic, trigonometric and rational functions. Moreover, these methods could be more effectively used to deal with higher dimensional and higher order nonlinear evolution equations which frequently arise in many scientific real time application fields. It is shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in applied mathematics, mathematical physics and engineering problems.

The verifications of boundedness and compactness of the weighted composition operators of relations between different Bergman spaces of bounded symmetric domains which are Hilbert are characterized by using Carleson measure. As an application, we study the relations of multipliers between different Bergman spaces

In this paper, a deterministic mathematical model for the transmission dynamics of infectious diseases among infants in a vaccinated and temporary recovered population is proposed. Although the equilibria of the model could not be expressed in closed forms, the existence and threshold conditions for their stabilities are theoretically investigated. The standard dynamical modelling methods are used for analyzing the behaviours of the solutions both at the disease free equilibrium and the endemic equilibrium. In addition, the conditions of the parameters for the disease free and endemic states are obtained through the basic reproductive number. The results of this study guide the way to reduce the disease outbreak among the infants.

In this letter, the fractional modified decomposition method has been implemented for solving nonlinear sine-Gordon equation of fractional order. The fractional derivatives are described in the Caputo sense. In these schemes, the solution constructed in power series with easily computable components. The method is powerful tool for obtaining analytic and approximate solutions for different types of fractional differential equations.

In this paper fixed point theorems on fuzzy soft normed linear space are discussed in a different way. Also the concepts like mapping using set of all soft points, fuzzy soft contraction,contraction, R-weakly commuting, etc are defined.

If the initial temperature is an even power function, then the heat transform with the source solution as the kernel gives the heat polynomials. We discuss various properties of the heat polynomial and its Appell type transform. Also, we give series representation of the heat transform when the initial temperature is a power function.

Graham and Sloane [7] introduced the harmonious graphs and Singh & Varkey [11] introduced the odd sequential graphs. Gayathri and Hemalatha ( [2], [1]) introduced even sequential harmonious labeling of graphs. In [3], we extend this notion to k-even sequential harmonious labeling of graphs and further studied in [4-5]. Also we have introduced k-odd sequential harmonious labeling of graphs in [6]. Here, we investigate some results on k-even sequential harmonious labeling of graphs.

In this paper the three dimensional wave propagation in a homogenous Isotropic generalized thermo elastic cylindrical panel is investigated in the context of the linear theory of thermo elasticity. The analysis is carried out by introducing three displacement potentials so that the equations of motion are uncoupled and simplified. A modified Bessel function solution with complex arguments is then directly used for the case of complex eigenvalues , To clarify the correctness and effectiveness of the developed method the dispersion curves of different panel parameters are computed and presented for Zinc material with the support of MATLAB.

In this paper, we study some of the properties of homomorphism in (Q, L)-fuzzy subgroup of a group and prove some results on these.