International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 14 No. 4or Keyword in Title:
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Table of Content for Vol. 14 No. 4, 2016

High Order He’s Homotopy Perturbation Method Solution for Boundary Layer Flow
Hamza Berrehal, Abdelaziz Maougal
 PP. 365 - 375
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ABSTRACT: Starting from the reality that many known methods fail in the attempt to obtain analytic solution of boundary layer flow equations, in this work, a new procedure namely Homotopy Perturbation Method (HPM) is proposed to obtain an explicit analytical solution of previous problem. We noticed that the (HPM) method approaches increasingly to the exact solution for the higher orders of the parameter p. comparison with numerical solution, as well as the obtained residual, reveals that the proposed procedure (HPM) as a new kind of powerful analytical tool for nonlinear problems.

Finding Optimal Solution of a Linear Programming Problem Using Branch and Bound Method
Tanveer Ahmad Tarray and Muzafar Rasool Bhat
 PP. 376 - 383
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ABSTRACT: The crux of this paper is to consider an unrelated question randomized response model using stratified random sampling based on Singh and Tarray (2014). In this paper the problem of optimal allocation in stratified random sampling where randomized response technique is used in presence of non-response. The problem is formulated as a Nonlinear Programming Problem (NLPP) and is solved using Branch and Bound method. Also the results are formulated through LINGO.

Uncertain Physics, Fluctuation-Chaos and General Uncertain Sciences
Yi-Fang Chang
 PP. 384 - 397
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ABSTRACT: First, based on the uncertainty principle in quantum theory and its development, we discuss uncertain physics, which includes phase transformation and critical phenomena, condensed matter physics, surface science and material science, etc. Next, fluctuation and statistics, and chaos in nonlinear theory all show uncertainty. Further, in chemistry, Earth science, biology, astronomy and social sciences various uncertain phenomena exist widely, so they form general uncertain sciences. This may apply some mathematical methods, in which an important way is fuzzy mathematics, which is related with the multi-value logic and variant logic. Contrarily, uncertain sciences will give an impetus to various developments of uncertain mathematics. Finally, we propose the speed of light and some fundamental constants should be uncertain.

A New Class of Generalized Fuzzy Entropy Functions
Abdulaziz Q. Alsubie, M.A. K. Baig and Mohd Javid Dar
 PP. 398 - 406
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ABSTRACT: In this paper we propose a class of generalized fuzzy residual entropy functions for the life time distributions. This measure generalized the well-known result of Ebrahimi. Also, some new characterization results and bounds for the failure rates have been obtained.

Discrete Version of Log-Logistic Distribution and Its Applications in Genetics
Bilal Ahmad Para, Tariq Rashid Jan
 PP. 407 - 422
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ABSTRACT: In this paper we propose a discrete analogue of Log-Logistic distribution using a general approach of discretising a continuous distribution. It may be worth exploring the possibility of developing a discrete version of two parameter Log-logistic distribution, so that same can be used for modeling a discrete data. Discrete Log-logistic distribution is suggested as a suitable count data model as well as a reliability model to fit a range of discrete lifetime data, as it is shown that hazard rate function can attain monotonic increasing (decreasing) shape for certain values of parameters and also it attains a flexible index of dispersion. The equivalence of discrete Log-logistic (DLog-logistic) and continuous Log-logistic (Log-logistic) distributions has been established. Various theorems discussing some important results related to discrete Log-logistic distribution have also been proved. Finally, the model is examined with an example data set studied by [15,16], data set of counts of chromosomal aberrations in human leukocyte and compared with the classical models.

Characterization and Bayesian Estimation of Minimax Distribution
Kawsar Fatima and S.P Ahmad
 PP. 423 - 447
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ABSTRACT: The main objective of our research problem is to study the Bayesian Analysis of Minimax distribution under single & double priors. Simulation study will be performed to compare the performance of the posterior estimates under various priors in R Software.

A Stratified Singh and Mathur’s Unknown Repeated Trials in the Unrelated Question Randomized Response Model
Tanveer A. Tarray and Housila P. Singh
 PP. 448 - 459
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ABSTRACT: This paper suggests a stratified unrelated question randomized response model based on Singh and Mathur (2004) model that has proportional and Neyman allocation and larger gain in efficiency. Numerically it is found that the suggested model is more efficient than Singh and Mathur (2004) and Kim and Elam (2007) randomized response models.

Analytical Expression to the Steady Viscous Flow of a Micropolar Fluid Driven by Injection between Two Porous Disks
V. Ananthaswamy, S. Usha and J. Soumyadevi
 PP. 460 - 476
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ABSTRACT: In this paper a steady, laminar, incompressible and two-dimensional flow of a micropolar fluid between two porous coaxial disks is being considered. Using the micropolar model we have described the working fluid. The governing equations of motion are reduced to a set of non-linear coupled ordinary differential equations using Berman’s similarity transformation. Homotopy Analysis Method (HAM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. It has been attempted to show the capabilities and wide-range applications of the Homotopy analysis method. The obtained solutions admit a remarkable accuracy.