International Journal of Theoretical and Applied Sciences

2

Authors: Vishnu Vats and R.K. Upadhyay

ABSTRACT : The kinetics of cyclocondensation of ketoazomethines (prepared by the condensation of phenyl glyoxal with aniline and para-diethyl amino-aniline) with thioglycolic acid in different experimental conditions of concentration, dielectric constant of medium, catalyst concentration and effect of temperature as typical examples for the new thiazolidinones have been proposed and related thermodynamic parameters have been calculated.

2

Authors: Rajesh Shrivastava*, Animesh Gupta*, R.N. Yadava** and S.S Rajput***

ABSTRACT : In this paper, the concepts of compact metric space and psedo compact tichnov space has been introduced. We have proved some fixed point theorems for the self mapping satisfying a new contractive conditions in compact metric spaces and pseudo compact metric spaces.

2

Authors: Rajesh Shrivastava* and Richa Gupta**

ABSTRACT : In this paper we have proved a fixed point theorem for continues contraction mappings in dislocated Quasi Metric Spaces for random operator.

3

Authors: N.K. Thakur

ABSTRACT : The ethanolic extract of fresh leaves of Agave vera-cruz Mill. has been found to be a complex mixture of steroidal saponins, out of which one oligospirostanoside has been isolated and assigned the structure as: 3-O-[ { β-D-xylopyranosyl (1-4) }{ α-rhamnopyranosyl (1-2) }-β-D-glucopyranosyl (1-4)-β-D-glucopyranosyl ] (25R)-5α-spirostan, 3β, ol (Veracruzonin-A) by chemical and spectral studies.

3

Authors: Priyanka Nigam* and Neeraj Malviya*

ABSTRACT : The Objective of this paper is to obtain some common fixed point theorems for occasionally weakly compatible mappings in fuzzy metric spaces.

3

Authors: M.S. Chauhan*, V.H. Badshah** and Deepti Sharma***

ABSTRACT : In this paper, we prove a common fixed point theorem for four self-maps in fuzzy normed space using the concept of compatibility, which generalizes the result of Singh et. al. [5].

4

Authors: Abhishek Sharma,* Arihant Jain** and Sanjay Choudhari*

ABSTRACT : In this paper, the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibility and reciprocal continuity in intuitionistic Menger space has been applied to prove a common fixed point theorem. We extend the result of [1] from metric space to intuitionistic Menger space. Also we cited examples in support our results.

7

Authors: Sunit Rani Jain* and Satish Chandra Rajvanshi**

ABSTRACT : The influence of combined heat and mass transfer and gravity modulation on unsteady free convective, viscous incompressible flow past a porous vertical flat plate with periodic temperature in slip-flow regime retaining the terms involving viscous dissipation in the energy equation has been examined. Assuming variable suction at the plate and modulated gravity field of the form g = go + g1 sin (ωt), the analytical expressions for flow characteristics are obtained. The effect of gravity modulation on the gravity profiles, temperature profiles, species concentration is discussed. Increase in gravity modulation parameter shows decrease in the value of skinfriction and has increasing effect on phase of skin-friction. Gravity modulation parameter has significant impact on Nusselt number. Even a small increase in gravity modulation parameter leads to significant increase in the value of Nusselt number and decrease in phase of heat transfer.

7

Authors: Sonia R Bansal* and Kuldeepak*

ABSTRACT : Most of the Non-Linear evolution equations give soliton solutions. The simplified version of Hirota's method, proved to be an effective and straightforward technique for finding soliton and multi soliton solutions for various non-linear evolution equations. In this paper, soliton and multisoliton solutions of Kadommstev Petviashvilli (KP) equation are obtained by using a symbolic manipulation package mathematica introduced by Hereman et. al. Symbolic manipulation package allows one to construct exact soliton solutions of non linear evolution and wave equations, provided the equations can be brought in bilinear form using Simplified version of Hirota method.We have illustrated the method in detail and shown graphical soliton solutions by 3D plotting using symbolic computer language maple. Graphs at different intervals of time clearly represent waves collision, dispersion and again retaining their original speed and shape after a collision. Mathematical results of solitons show that soliton solutions are just polynomials of exponentials.

9

Authors: Samriti Khosla*, Suman Lal*, Nitin Sood**, S.S. Bawa*** and Nahar Singh****

ABSTRACT : This paper presents a review of the literature that deals with Liquid Crystal Elastomers (LCE) and focus on the recent progress in developing high performance application of liquid crystal elastomers materials for biological applications. In this paper, firstly we describe a brief history of liquid crystal materials comprising low molar mass liquid crystals, liquid crystal polymers, Oligomers and polymer dispersed LC. Then we explore the unique properties of LC elastomers for application in biology. These materials exhibit very rich elastic behavior as they couple elastic fields and mobile liquid crystal order. The liquid crystallinity of these solid LC allows these to shape change without any energy cost. The combination of unique properties, like soft elasticity and large spontaneous shape change, make them suitable to possess application in generic large scale actuators/ sensors and in biology like for the formation of artificial Muscles/MEMS/MOEMS. These promising results indicate that LCE materials will certainly plays an important role in the development of future applications and functional materials.