Applied Mathematics

In this paper we have studied the range of Hankel type and extended Hankel type transforms on some spaces of functions. Further the Paley-Wiener type theorem for the Hankel type transforms is also established.

This paper is concerned with the controllability of impulsive functional differential equations with infinite delay in a Banach space. Sufficient conditions for controllability are obtained by using the measures of noncompactness and Monch fixed point therem under the assumption of noncompactness of the evolution system.

The main objective of the present paper is to obtain certain new results in the aspects of Hypergeometric function. The results presented here are presumably new.

Harmonic eccentric indices were proposed analogously to Harmonic indices already known and used for many years. We defined Harmonic eccentric index as HEI (G)= ?_(uv?E (G))?2/(e_u+e_v ) .In his paper we have calculated Harmonic eccentric index for some particular chains which are fused with different types of fusing namely ?-type fusing,?-type fusing and ?-type fusing . In future we will on various Eccentric indices with the Hexagonal chain.

The present study focused on the numerical solution of boundary layer flow of a radiating dusty fluid over a stretching porous surface. The governing boundary layer equations of the problem are formulated and transformed into ordinary differential equation by using similarity transformation. The resulting equations are then solved numerically using Runge Kutta fourth order scheme along with shooting technique. It has been observed that the temperature of the particle phase increases with the increase of radiation parameter but the radiation parameter has no significant effect on fluid phase temperature.

In this paper we have explored the problem for generalized temperature functions considered over positive and negative time. We have established representation theorems and their applications.

Field equations of Saffman’s dusty gas with pressure-dependent viscosity and variable number density through isotropic porous media of variable porosity are developed in this work. The porous microstructure, the Darcy resistance and the Forchheimer micro-inertial effects are accounted for in the intrinsic volume averaging process.

In the present paper, unsteady MHD flow past an impulsively started vertical plate with constant wall temperature and variable mass diffusion in the presence of Hall current is studied. The fluid considered is an electrically conducting, absorbing-emitting radiation but a non-scattering medium. The Laplace transform technique has been used to find the solutions for the velocity profile and skin friction. The velocity profile and skin friction have been studied for different parameters like Schmidt number, Hall parameter, magnetic parameter, mass Grashof number, thermal Grashof number, Prandtl number, and time. The effect of parameters are shown graphically and the value of the skin-friction for different parameters has been tabulated.

A three dimensional eco-epidemiological model consisting of prey, susceptible predator, infected predator species, is proposed and analyzed in the present work. From infected predator, the disease is transmitted to the susceptible predator species. Differential predation rate is considered due to disease in predator as the infection reduces the predation ability of infected predator. The recovery of infected predator from disease is incorporated; therefore, an SIS model is taken for predator species. The dynamics of the system is analyzed mathematically and conditions for existence and stability of disease free equilibrium point has been found out. Also conditions for disease to be endemic in predator species are obtained. Numerical simulations have been carried out to justify the results obtained.

There are many examples for co-orbital motion in the Solar system, including temporary co-orbital companions of the Earth, raising many interesting questions. The problem of co-orbital motion is formulated in the Hamiltonian form when the larger primary is an oblate body. Different forms of the disturbing function are outlined; the relevant form is developed in terms of Laplace’s coefficients. The Hamiltonian of the problem is formed in Delaunay-like canonical elements. The ratio of the primaries’masses is considered as a small parameter of the first order while the leading oblateness term of the first primary is considered of second order. Finally, the short-period terms are eliminated from the Hamiltonian using the procedure based on Lie series and Lie transform, leaving the Hamiltonian as a function of only the secular and critical (resonant) terms.