iosr-Jm   Volume-13 ~ Issue-5 ~ Sep-Oct 2017

Abstract: This paper considers the Economic Production Quantity (EPQ) for non-instantaneous deteriorating item allowing price discount in which production and demand rate are constant. The holding cost varies with time. Completely deteriorated units are discarded. Partially deteriorated items are allowed to carry discount, no shortage is allowed. Essentially, this chapter focuses on the conditions of the retailer receiving the supplier trade credit and providing the customer trade credit simultaneously so as to minimize the average total cost. The main contribution to literature is the inclusion of the facility of permissible delay in payments............

[1] Aggarwal, S. P. and Jaggi, C, K. (1995): Ordering policies of deteriorating items under permissible delay in payments. Jour of Opl. Res. Soc., 46 : 658-662.
[2] Aggarwal, S.P. and Jain, V. (2001): Optimal inventory management for exponentially increasing demand with deterioration. International Journal
[3] Choi, S., Hwang, H., (1986): Optimization of production planning problem with continuously distributed time-lags, International Journal of Systems Science, vol. 17, No. 10 pp, 1499- 1508.
[4] Gallego,G(1993):Reduced Production rate in the economic lot scheduling problem, International Journal of Production Research,316,1035-1046.
[5] Gary C.Lin, Dennis E Kroll and C.J. Lin, (2006):Determining a common production cycle time for an economic lot scheduling problem with deteriorating items, European journal of Operational Research

Abstract: This paper introduces the concepts of fuzzy pseudo-open sets in fuzzy topological spaces and fuzzy pseudo-continuous functions between fuzzy topological spaces. Several characterizations of fuzzy pseudo-open sets are established. A conditions under which fuzzy hyper-connected spaces become fuzzy Baire spaces, is obtained by means of fuzzy pseudo-open sets. Several examples are given to illustrate the concepts introduced in this paper.............

Keywords: Fuzzy simply open set, fuzzy simply* open set, fuzzy resolvable set, fuzzy hyper-connected space, fuzzy Baire space, fuzzy resolvable space.

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[5] Miguel Caldas, Govindappa Navalagi and Ratnesh Saraf , On fuzzy weakly semi- open function, Proyecciones, Universidad Catolica del Norte, Antofagasta – Chile, 21(1), (2002),51 63.,.

Abstract: In the present study, the aim was made at studying the compact space and fixed point theorem in the spaces. The present paper may help to understand the fixed point with the help of Compact metric spaces.

Keywords: Euclidean Space, complete metric Space, Compact Space, Compact metric Space.

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Abstract: This paper deal with optimal stochastic control theory and its' application to Landmark University Development ventures and investments model. Here Stochastic Differential Equations (SDE) is considered as an ordinary differential equations (ODE) driven by white noise and we justified the connection between the Ito's integral and white noise in the case of non-random integrands interpreted as cost functions.

Keywords: Investment, Optimal, Stochastic, Venture, White Noise

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Abstract: In this paper, the real number system is reconstructed with the Peano's axioms, to create systems of elements that demonstrate the properties of integer and rational numbers. Construction of two real number systems named Dedekind Real Number System that shows the completeness of the order and Cantor Real Number System that shows the Cauchy completeness are done and studied. During this process of systematic construction of real numbers, the integers and rational numbers can also be obtained. The process of constructing a real number system is made through mathematical concepts

Keywords: Peano's Axiom, Archimedean Property, Order Completeness and Cauchy Completeness

[1]. Richard Courant and Herbert Robbins, What is Mathematics., Oxford University Press, (1941)
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Abstract: The aim of this research is to prove the elusive Goldbach's Conjecture through the medium of mapping of sets in Set Theory. Some previous research attempts at proving the conjecture had been based on the belief that it is a problem for Number Theory which this researcher believes is not strictly so.

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Abstract: The article makes a brief summary on the frequently-used properties of the floor function. The properties include basic inequalities, conditional inequalities and basic equalities that are collected from different publications and are helpful for scholars of mathematics and computer science and technology

Keywords: Floor function, Inequality, Number theory

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Abstract: In thispaper,we considered a non-linear systemsof fractional partial differential equations.They have been solved by a computational method which is so-called a modified Laplace Homotopy Analysis method .The fractional derivatives are described in the Caputo sense. The proposed technique is only a simple modification of the Homotopy Analysis Method .The method was applied for some illustrative examples to solve non-linear systems of fractional partial differential equations. From the result of the illustrative examples we conclude that the method is computationally efficient.

Keywords: Fractional calculus, system of fractional order partial differential equations, Laplace transform, Homotopy Analysis method.

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[3] Gupta. VG,Kumar. P: Approximate solutions of fractional linear and nonlinear differential equations using Laplace Homotopy analysis method. Int. J. Nonlinear Sci. 19(2), 113-120 (2015)
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Abstract: The aim of this paper is to introduce the concept of supra bitopological spaces and discuss the fundamental properties of separation axioms in supra bitopological spaces. Mathematics Subject Classification: 54D05, 54D10, 54D08, 54D20

Keywords: supra topological spaces, supra bitopological spaces, supra pairwise T0-space, supra pairwise T1-space, supra pairwise T2 -space.

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Abstract: Measles is a highly contagious illness caused by the measles virus. Measles remains one of the leading causes of death among young children around the world. The objective of this study is to examine the effect of vaccination and human contact interactions on the transmission of measles virus. Data on contact interactions among 3000 young children in Ajaka community, Kogi State, Nigeria were collected. A graph representing this population and their interconnectedness was generated. The effects of different converges of vaccination on the epidemiology of measles virus were investigated. The results show that effective measles vaccination is crucial for the elimination of measles among the children in the community. Therefore, mass vaccination for measles is recommended in order to eliminate or at least significantly reduce the menace of measles outbreaks.

Keywords: measles, graph, network, vaccination, simulation, model

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Abstract: The purpose of this work is to transform the linear initial value problem (IVP) to a voltera integral equation of the second kind and provide a reliable solution for the transformed voltera integral equation using the well-knownAdomian decomposition method (ADM).Some few examples are discussed to show the reliability and the performance of the decomposition method. The results obtained are in better agreement with the exact solutions..

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Abstract: The main issues raised in this paper are the ability to think in mengkosntruksi and solve problems related to learning mathematics. The development of science and technology with high technology such as computers or other media has changed the learning of mathematics. This shows not only the aspects of mathematics learning but also how the learning process of mathematics is implemented and how one's attitude toward mathematics. The learning of school mathematics today is still far from high-level thinking skills. Implementation of learning more on the target achievement of learning outcomes by looking at the completeness of learning (final grade) students alone without...........

Keywords: problem solving skills, questioning skills, reasoning skills, communication skills, skill conceptualization

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Abstract: This research seeks to fit panel regression predictive models on agricultural productivity in Nigeria using data from 36 states and Federal Capital Territory, Abuja (37 cross-sections) from 2006 to 2015 (10 periods). Data were collected on crop production output, agricultural area, fertilizer used, and employment in crop farming, farmgate prices and cost of seeds/seedlings as provided by each state in Nigeria. Crop production is used as a proxy for measuring the level of agricultural productivity for each state of the Federation. The result of the analysis shows that static panel models are the best models in modelling crop production in Nigeria, especially panel least squares with fixed effect cross-section and fixed effect period, followed...........

Keywords: Panel data, Predictive model, Static panel, Dynamic panel, Pooled regression

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Abstract: In this article, we have discussed an integro-differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields. The differential transformation method (DTM) is used for solving this equation. Finally, the error analysis of the results of applying this procedure to the integro-differential equation with time-periodic coefficients illustrates the high accuracy, efficiency, simplicity and applicability of this method.

Keywords: Charged particle motion, Differential transformation method, nonlinear integro-differential equation, oscillating magnetic fields.

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Abstract: The aim of this paper is to analyze an unsteady axisymmetric flow of no conducting, Newtonian fluid squeezed flow between two circular plates passing through the porous medium channel with slip and no-slip boundary conditions. We have obtained a single fourth order nonlinear ordinary differential equation using similarity transformation. This differential equation can solve by using the differential transformation method (DTM) and evaluate the residual errors for approximate solutions for various M(constant containing permeability).

Keywords: Nonlinear ordinary differential equation, Porous medium channel, Squeezing fluid flow, The differential transformation method.

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