Research & Reviews: Discrete Mathematical Structures
Volume 4, Issue 3 (2017)
Published
Table of contents
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Topological Integer Additive Set-Valued Graphs: A Review
Abstract: AbstractLet denote a set of non-negative integers and be the collection of all non-empty subsets of . An integer additive set-labeling (IASL) of a graph is an injective set-valued function where induced function is defined by , where is the sumset of and . A set-labeling is said to be a topological set-labeling if is a topology on the ground set and a set-labeling is said to be a topogenic …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 1–17 Read article
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Self-Similarity Solution of Gravitating Cylindrical Shock Wave in the Theory of Flare-ups in Novae I
Abstract: AbstractIn this paper, the characteristics of the flow of a cylindrical shock wave are investigated where finite amount of energy in an infinitely concentrate form and total energy remain constant. The present paper deals with the problem in which a finite amount of energy in an infinitely concentrated form is suddenly released along a straight line in a conducting gas subjected to gravitational forces into account.Keywords: Cylindrical shock; finite amount …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 18–21 Read article
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Intelligent Ranking Techniques for Software Reliability Growth Models
Abstract: AbstractReliability is gaining a lot of importance in the modern society, be it gadgets, automation, hardware, software or any other application. We are getting dependent more on machines and so is the need for relives ability gaining more weightage. This paper focuses on software reliability and the complexity involved in the prediction of reliability of the developed software. The paper introduces various assumptions and pre-requisites for software reliability modeling. Different …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 22–29 Read article
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Cointegration and Error Correaction Modeling for BSE and NSE Stock Prices Time Series Data
Abstract: AbstractEconometrician always have been observed that most of the economics time series are non-stationary. The ordinary least square technique could be applied to estimate the model parameters only if the variables have been found to be stationary, i.e., they do not have unit roots. Otherwise, an alternative approach has to be followed, which is ‘co-integration’. Co-integration is a method of finding out the long-term relationship between economic variables under consideration. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 30–41 Read article
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Vector of Auto-Regressive Modeling for Agricultural Crop Production
Abstract: AbstractThe present investigation was carried out to study the trends in area and production of paddy crop, grown in Tamil Nadu during the period 1950–51 to 2009–10, using the multivariate time series modeling. The multivariate time-series model, VAR (p) model of order 1 was found suitable to study the trends in area as well as production of these crops. Decreasing trends in area as well production of these crops have …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 42–50 Read article
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Reliability Analysis of an Infinite Range Failure Model under Different Prior Distributions
Abstract: AbstractA failure rate model has been selected for the present study and Bayesian estimates of reliability and hazard rate functions of that model have been obtained. The prior distributions considered for this study are, uniform and inverted gamma distributions. Since, the same mathematics is required for the study of survival analysis that is why the estimate of survival function has also been obtained in this paper.Keywords: Reliability function, hazard function, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 51–73 Read article
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Advanced Computable Extension of New Fractional Kinetic Equation
Abstract: AbstractThe aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 74–80 Read article
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INTEGRAL REPRESENTATION OF K-FUNCTION
Abstract: Abstract: In this article, an attempt to be made to introduce the four-different integral representation of Extended K-function and special cases have also been discussed [1, 2]. The Extended K Function which is introduced by the authors first time in this work is extended version of earlier K-Function of Sharma [3]. We will use Riemann-Liouville fractional calculus operator in finding the integral representation of this extended K- Function. Fractional Calculus …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 81–88 Read article
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Triple Dirichlet Average of New Generalized M-Function and Fractional Derivative
Abstract: AbstractThe aim of present work to establish some results of Triple Dirichlet average of New Generalized M-Function, using fractional derivative.Keywords and Phrases: Dirichlet average, New Generalized M-Function fractional derivative and Fractional calculus operators.Mathematics Subject Classification: 26A33, 33A30, 33A25 and 83C99. Cite this Article Manoj Sharma. Triple Dirichlet Average of New Generalized M-Function and Fractional Derivative. Research & Reviews: Discrete Mathematical Structures. 2017; 4(3): 89–93p..
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 89–93 Read article