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Theses

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20204
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Subject: Mathematics × End date: 2020 × Start date: 2020 × Type: Thesis × Thesis Type: M.Sc ×
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    ThesisItemOpen Access
    Fixed point theorem using quasicontraction mapping in metric space
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2020-10) Chundriyal, Suraj Prakash; Pal, A.K.
    In the present research work proved a fixed point theorem due to Lj. B. CIRIC (1974) with the help of quasi-contraction condition in metric space. Thesis work present in five chapters. The first chapter consists of the basic preliminaries and definitions related to metric space, fixed point, contraction and contractive mappings. Banach contraction principle and some applications of this theorem are also discussed in this section. In the second chapter presents a review of the literature which is studied during the proposed work. The chapter three starts with some primary definitions like generalized contraction and quasicontraction, etc. Fixed point theorem due to Lj. B. Ciric (1974) are proved in this chapter. In chapter four, the theorems proved are supported by an example. In the fifth chapter, summarizes the thesis work in brief along with the conclusions. References that are helpful during research work given in the literature cited.
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    ThesisItemOpen Access
    Fuzzy rule based expert system for multi assets portfolio optimization
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2020-09) Bisht, Garima; Sanjay Kumar
    Fuzzy logic has been established as an appropriate tool to handle the uncertainty in the system which occurs due to imprecise information, uncertainty, vagueness and other uncontrolled parameters. Portfolio Optimization has always been an important topic for researchers in the area of Financial Mathematics due to its unpredictable behavior. Combination of fuzzy logic and portfolio optimization problems gives an efficient way of selecting the optimal portfolio. Portfolio optimization means combining assets in such a way so as to get maximum return or minimum risk. In the present study we develop multi input single output (MISO) Mamdani FIS for three assets to maximize return and minimize risk using triangular and gaussian membership functions. We also compare the performance of different FIS by calculating the RMSE values as compared to statistical model for portfolio optimization. Chapter 1. gives the introduction of FIS and portfolio optimization. Chapter 2. gives the literature review pertaining to FIS and applications of fuzzy logic in portfolio optimization. Chapter 3. gives materials and methods used during course of investigations. Chapter 4. gives the results obtained by Mamdani FIS. The work has been summarized in Chapter 5.
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    ThesisItemOpen Access
    Flow and heat transfer of Cu-water nanofluid over stretching sheet with Stefan blowing Effect
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2020-07) Negi, Shubham; Manoj Kumar
    Present work deals with the problem of flow and heat transfer in nanofluids past a stretching porous sheet mainly Cattaneo-Christov double diffusive model is applied to study the flow problem. The various flow conditions including different physical phenomenon like magnetic effect, activation energy effect, Stefan blowing effect, volume fraction and the condition of zero mass flux has been incorporated at the boundary, to study their effects on velocity, temperature and concentration profiles. The physical quantities of interest viz. skin friction coefficient and Nusselt number have also been calculated and their analysis is included in this study. The study presented in the thesis comprises of five chapters. The first chapter is aimed to fulfill the basic need of introducing the various concepts and foundation needed for fluid mechanics. Chapter two throw light on majority of passed research work related with the present work. Chapter three covers the mathematical formulation of the problem and its detailed description. A proper description of used methodology, together with the details of the numerical solution is also presented. Chapter four describes the result and discussion of the considered problem taken in chapter three. The work has been summarized in chapter five. In along with the finding of the study, the literature used in the course of the study has been referred under the section of literature cited. The related study may be helpful to applied scientific fields and different branch of engineering and applied mathematics.
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    ThesisItemOpen Access
    Reliability estimation of some SENs using UGF method
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2020-07) Bisht, Vaibhav; Singh, S.B.
    In this research work, author has developed two different models which are given as: 1. Reliability assessment of 8×8 shuffle Exchange network with one stage less (SEN-) by using universal generating function method. 2. Reliability assessment of 4×4 shuffle exchange network (SEN) by using universal generating function method. In the first model, 8×8 SEN- MIN does not satisfy the basic condition of MIN of full connectivity as some of the inputs nodes are not connected to all output nodes. So 2×1 MUX and 1×2 DEMUX have been used at source end and destination end respectively of 8×8 SEN- to achieve full connectivity. The reliability block diagram of the terminal, broadcast and network reliability of 8×8 SEN- was presented and its reliability was calculated by universal generating function method. In the second model we have considered three 4×4 shuffle exchange networks, namely, 4×4 SEN, 4×4 SEN+ and 4×4 SEN+2. The reliability block diagram of terminal, broadcast and network reliability for each of these networks was presented. The reliability of 4×4 SEN, 4×4 SEN+ and 4×4 SEN+2 was calculated by using universal generating function method unlike done before. Both the presented models are demonstrated by appropriate illustrative examples.