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Abbas S.,Indian Institute of Technology Mandi
Computers and Mathematics with Applications | Year: 2011

In this paper we discuss the existence and uniqueness of a pseudo almost automorphic solution of an integro-differential equation in a Banach space X. We achieve our results using the methods of fractional powers of operators and the Banach fixed point theorem. These results are new and complement the existing ones. © 2011 Elsevier Ltd. All rights reserved. Source


Thakur M.,Indian Institute of Technology Mandi
Journal of Computational Science | Year: 2014

In this paper a new genetic algorithm is developed to find the near global optimal solution of multimodal nonlinear optimization problems. The algorithm defined makes use of a real encoded crossover and mutation operator. The performance of GA is tested on a set of twenty-seven nonlinear global optimization test problems of variable difficulty level. Results are compared with some well established popular GAs existing in the literature. It is observed that the algorithm defined performs significantly better than the existing ones. © 2013 Elsevier B.V. Source


Diwaker,Indian Institute of Technology Mandi
Spectrochimica Acta - Part A: Molecular and Biomolecular Spectroscopy | Year: 2014

The electronic, NMR, vibrational, structural properties of a new pyrazoline derivative: 2-(5-(4-Chlorophenyl)-3-(pyridine-2-yl)-4,5-dihydropyrazol-1-yl) benzo[d]thiazole has been studied using Gaussian 09 software package. Using VEDA 4 program we have reported the PED potential energy distribution of normal mode of vibrations of the title compound. We have also reported the 1H and 13C NMR chemical shifts of the title compound using B3LYP level of theory with 6-311++G(2d,2p) basis set. Using time dependent (TD-DFT) approach electronic properties such as HOMO and LUMO energies, electronic spectrum of the title compound has been studied and reported. NBO analysis and MEP surface mapping has also been calculated and reported using ab initio methods. © 2014 Elsevier B.V. All rights reserved. Source


Chakraborty A.,Indian Institute of Technology Mandi
Molecular Physics | Year: 2011

Nonadiabatic tunnelling in an ideal one-dimensional semi-infinite periodic potential system is analysed using our model. Using our simple analytically solvable model it is shown that an ideal one-dimensional semi-infinite periodic potential system can be thought as a model of molecular switch. The method is applicable to those systems where Green's function for the motion in the absence of coupling is known. The method has been applied to the problem where motion takes place on parabolic potentials, for which analytical expression of Green's function can be found. © 2011 Taylor & Francis. Source


Chauhan A.,Galgotias University | Vaish R.,Indian Institute of Technology Mandi
Materials and Design | Year: 2012

Material selection is an important task because large numbers of competitive materials are available for various technological applications. Numerous material selection techniques are reported whereas most of the techniques are knowledge based and require performance indices for material selection. In this context, Ashby approach is one of the efficient methods which rely on performance indices of materials in specific application. However Multiple attribute decision making (MADM) approaches do not require exact physical relation for material selection. We have investigated micro-electromechanical system's (MEMS) material selection using MADM approaches and compared their results with that of Ashby approach. Almost similar materials ranking indicates that MADM approaches are also efficient and ease to apply without any prior mathematical calculation for materials properties-application relation. © 2012 Elsevier Ltd. Source

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