Abstract The objective of this present work is to introduce a new method of solving quadratic equations different from the existing methods. In this paper, we explicitly explain the new method and carefully discussed the conditions necessary for using this new approach. Finally, we apply our new approach to solve some questions and compare the result with the existing methods and results coincide. KEYWORD: The following are the keywords to be discuss namely; Affected quadratic equation,Absolu...

Abstract: In this paper, we extend the application of generalized fuzzy metric space and generalized locations with fuzzy mapping such as quasi-pseudo-metric spaces and cone metric spaces. Some assumptions are also acceptable for α-commuting, α-weakly consistent mapping, L-fuzzy mapping for L-fuzzy sets, and a pair of βFL - L-fuzzy mappings. Based on the above definitions, some interesting coincidence points, common fixed points, and fixed point results are obtained that generalize not o...

Abstract Mathematics is a key subject which students cannot avoid if they have to lead a bright future. Despite the introduction and implementation of different teaching methods and strategies suggested by researchers the achievement of students in mathematics at school level has persistently been poor, hence the need to explore the influence of different instructional approaches. The purpose of this study was to find out the extent to which instructional practices influenced students’ ach...

Kifilideen general matrix progression series of infinite terms is the summation of values of collection of progressive members of the series of system or set which has endless terms where terms are progressive into levels and steps with increasing members in successive levels and one member in the first level. The series of the system is needed in determining the overall values of the collection of the progressive members of the system which are useful for budgeting, analyzing, accounting...

Kifilideen matrix had been in existence which emanate from the Kifilideen trinomial theorem for the arrangement of power combination of each term of the Kifilideen trinomial expansion in sequential order. The continuous interaction with the pattern, progression and sequential order in which the power combination of the positive and negative power of and of Kifilideen trinomial theorem are arranged in the Kifilideen matrix give incite that a general sequence can be developed to follow thi...

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Abstract This project report deals with the class of asymptotically demicontractive mappings in Hilbert spaces. We noted some historical aspects concerning the concept of asymptotically demicontractivity and studied a regularized variant of the Krasnoselskii-Mann iteration scheme, which ensured the strong convergence of the generated sequence towards the least norm element of the set of fixed points of asymptotically demicontractive mapping. Contents Certification ii Dedication iii Acknow...

The object of this paper is to solve linear systems.

ABSTRACT Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered. Furthermore, the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of each of the cases were considered also. The stability analysis shows that the discrete delays in the population growth lead to instability in the growth. TABLE OF CONTENTS CERTIFI...

ABSTRACT We have modelled an open channel flow through a porous media (River). In the model, we considered water as an incompressible fluid; the flow as steady and uniform; the system is assumed to be isothermal and the flow, also a laminar flow. We have solved the resulting equation using analytical method. By some mathematical operations, the momentum partial differential equation (PDE) was reduced to ordinary differential equation (ODE) and the resulting equations are solved analytically u...

TABLE OF CONTENT Title Page - - - - - - - - - i Approval Page- - - - - - - - - ii Certification - - - - - - - - - iii Dedication - - - - - - - - - iv Acknowledgement - - - - - - - - v Table of Content - - - - - - - - vi Abstract - - - - - - - - - vii Chapter One : Introduction - - - - - - 1 1.1 Background of the Study - - - - - - - 1 1.2 Aims and Objective of the Study - - - - - - 5 1.3 Limitations - - - - - - - - 6 1.4 Scope of the study - - - - - - - 6 1.5 The Study- - - - - - - - - 6 1.6 D...

ABSTRACT We considered the evolutional problems in two-dimensional autonomous system. We showed that the bifurcating steady solutions are obtained from the points of intersection of the two conic sections and we used the implicit function theorem to justify their existence, and also we applied the Lyapunov theorem to establish their stability. CONTENTS Title Page i Certification ii Dedication iii Acknowledgement iv Contents v Abstract vi Chapter One INTRODUCTION 1 Chapter Two LITERATURE REVIE...

TABLE OF CONTENTS Title Page i Certificate of Approval ii Dedication iii Acknowledgment iv Abstract v Table of contents vi 1. FRACTIONAL ORDER CALCULUS 2. FUNCTIONS OF FRACTIONAL CALCULUS 2.1 The Gamma function 3 2.2 The Beta Function 5 2.3 The Mittag-Leffler Function 5 2.4 Laplace Transform 7 2.5 The Convolution Theorem 9 2.6 Riemann-Liouville Fractional integral 10 2.7 Riemann-Liouville Fractional derivative 13 2.8 The Caputo’s Fractional Derivative 14 2.9 Laplace Transform of Fractional ...

ABSTRACT A mathematical model consisting of a set of two coupled non-linear reaction diffusion equations has been developed. The model is based on the chemical kinetics of transesterification for biodiesel production using irreversible and non-catalytic conditions. Employing the hyperbolic tangent approach, an exact analytical solution for the travelling-waves of a finite series form was found. The wave number and the speed of the wave were determined. Furthermore,physical interpretations wer...

ABSTRACT In this work, we propose mathematical models for the processes that take place in the human eye and how they contribute to the development of pathological states. We considered and studied two related dynamics processes that take place in the eye. Firstly, a generalized mathematical model of aqueous humour flow driven by temperature gradient in the anterior chamber is presented. This predicts the flow behavior when the ambient temperature is higher than the core body temperature. The...