MSTDepartment of Mathematics
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On Cosets in Split Extensions of Hypercomplex Numbers
(Kenyatta University, 201906)This work focuses on the study of some properties of cosets in split extensions of hypercomplex numbers. It is well known that if G is a group and H its subgroup, the cosets of the subgroup H form a partition of the group ... 
Exact Controllability and Boundary Stabilization of A OneDimensional Vibrating String With a Point Mass in its Interior
(Kenyatta University, 201905)The dynamics of hybrid systems have attracted the attention of control theorists in the recent past, the control and stabilization of these systems is of paramount importance. The complexity of the structure has increased ... 
Mathematical Modeling of Cholera Transmission with Education Campaign and Treatment Through Quarantine
(Kenyatta University, 201906)Cholera, a waterborne disease characterized by intense watery diarrhea, a ects people in regions with poor hygiene and untreated drinking water. This disease remains a menace to public health globally and it is capable ... 
Mathematical Modelling of Tungiasis Disease Dynamics Incorporating Hygiene as a Control Strategy.
(Kenyatta University, 201903)Despite the intensive research that has been done on tungiasis, a lot remains to be done, especially on hygiene as a control strategy. Protection measures include, but not limited to; vaccination against tetanus in areas ... 
Mathematical Modeling and Analysis of Transmission of Rift Valley Fever
(Kenyatta University, 201905)RVF is an infectious disease that is primarily caused by mosquito bites to animals with possibilities of spreading to humans. The disease poses a major threat to animals, humans and the economy of the country. To understand ... 
Subgroups, Lattice Structures, and the Number of Sylow Subgroups for Symmetric Groups P
(Kenyatta University, 201903)Subgroups and supergroups of various symmetric groups have been researched on extensively. Various suggestions by researchers have been provided on how to find the numbers of Sylow subgroups. Casadio (1990) has provided ... 
Ranks, Subdegrees, Suborbital Graphs And Cycle Indice Sassociated With the Product Action Of An _ An _ An (4 _ N _ 8) On The Cartesian Product X _ Y _ Z
(Kenyatta University, 201906)Researchers over the years have studied group actions. The action of symmetric and alternating groups on ordered and unordered subsets of a set X have been considered leaving out the product action. In this study, we ... 
Modeling of Natural Turbulent Convection in an Enclosure With Localized Heating
(Kenyatta University, 201901)This study model natural turbulent convection in a rectangular enclosure with localized heating. The equations used in modeling the flow are the continuity equation, the momentum equation, and the energy equation. These ... 
Exact Controllability and Boundary Stabilization of a OneDimensional Vibrating String With a Point Mass In Its Interior
(Kenyatta University, 201905)The dynamics of hybrid systems have attracted the attention of control theorists in the recent past, the control and stabilization of these systems is of paramount importance. The complexity of the structure has increased ... 
The Impact of a Transverse Magnetic Field on Blood Flowing Through an AxiSymmetric Curved Shaped Stenotic Artery
(Kenyatta University, 201811)In this study, the impact of a transverse magnetic field on blood flowing through an axisymmetric curved shaped stenotic artery has been investigated. This research is of importance in the field of medicine. There is an ... 
The Number of Ring Homomorphisms from ℤ to ℤ N N
(Kenyatta University, 201811)This research deals with determining the number of homomorphism : ℤ n ℤ n , an aspect that seems to have been left open for many years. Several researches on the number of ring homomorphisms have been conducted and ... 
On the Cycle Indices of the Cyclic and Dihedral Groups Acting on the Cartesian Product Of X
(Kenyatta University, 201810)The concept of cycle index was first discovered by Howard Redfield in 1927. The cycle index formulas of various group actions have been computed since then by various authors. The formulas have been used to count graphs ... 
Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating
(Kenyatta University, 201812)Magnetohydrodynamic boundary layer flow involving a fluid of varying viscosity subject to thermal radiation and Newtonian heating has various applications in industry and engineering some of the applications include designing ... 
Influence of Inclined Magnetic Field and Thermophoresis on Heat and Mass Transfer Wedge Flow with Variable Thermal Conductivity
(Kenyatta University, 201810)In my study, I investigate the influence of thermophoresis and a constant inclined magnetic field on a fluid flowing over a porous wedge. The inclination is an acute angle to the horizontal axis. The effects of variable ... 
Hall Effect on a Steady MagnetoConvection and Radiative Heat Transfer past a Porous Plate
(Kenyatta University, 201812)Heat transfer plays a great role in engineering processes, blowing of fluids is used in designing thrusters and prevention of corrosion. Suction is used in film cooling and coating of wires in chemical engineering. A lot ...

On Cosets in Split Extensions of Hypercomplex Numbers
(Kenyatta University, 201906)This work focuses on the study of some properties of cosets in split extensions of hypercomplex numbers. It is well known that if G is a group and H its subgroup, the cosets of the subgroup H form a partition of the group ... 
Mathematical Modeling of Cholera Transmission with Education Campaign and Treatment Through Quarantine
(Kenyatta University, 201906)Cholera, a waterborne disease characterized by intense watery diarrhea, a ects people in regions with poor hygiene and untreated drinking water. This disease remains a menace to public health globally and it is capable ... 
Exact Controllability and Boundary Stabilization of A OneDimensional Vibrating String With a Point Mass in its Interior
(Kenyatta University, 201905)The dynamics of hybrid systems have attracted the attention of control theorists in the recent past, the control and stabilization of these systems is of paramount importance. The complexity of the structure has increased ... 
Mathematical Modelling of Tungiasis Disease Dynamics Incorporating Hygiene as a Control Strategy.
(Kenyatta University, 201903)Despite the intensive research that has been done on tungiasis, a lot remains to be done, especially on hygiene as a control strategy. Protection measures include, but not limited to; vaccination against tetanus in areas ... 
Mathematical Modeling and Analysis of Transmission of Rift Valley Fever
(Kenyatta University, 201905)RVF is an infectious disease that is primarily caused by mosquito bites to animals with possibilities of spreading to humans. The disease poses a major threat to animals, humans and the economy of the country. To understand ... 
Subgroups, Lattice Structures, and the Number of Sylow Subgroups for Symmetric Groups P
(Kenyatta University, 201903)Subgroups and supergroups of various symmetric groups have been researched on extensively. Various suggestions by researchers have been provided on how to find the numbers of Sylow subgroups. Casadio (1990) has provided ... 
Ranks, Subdegrees, Suborbital Graphs And Cycle Indice Sassociated With the Product Action Of An _ An _ An (4 _ N _ 8) On The Cartesian Product X _ Y _ Z
(Kenyatta University, 201906)Researchers over the years have studied group actions. The action of symmetric and alternating groups on ordered and unordered subsets of a set X have been considered leaving out the product action. In this study, we ... 
Modeling of Natural Turbulent Convection in an Enclosure With Localized Heating
(Kenyatta University, 201901)This study model natural turbulent convection in a rectangular enclosure with localized heating. The equations used in modeling the flow are the continuity equation, the momentum equation, and the energy equation. These ... 
Exact Controllability and Boundary Stabilization of a OneDimensional Vibrating String With a Point Mass In Its Interior
(Kenyatta University, 201905)The dynamics of hybrid systems have attracted the attention of control theorists in the recent past, the control and stabilization of these systems is of paramount importance. The complexity of the structure has increased ... 
The Impact of a Transverse Magnetic Field on Blood Flowing Through an AxiSymmetric Curved Shaped Stenotic Artery
(Kenyatta University, 201811)In this study, the impact of a transverse magnetic field on blood flowing through an axisymmetric curved shaped stenotic artery has been investigated. This research is of importance in the field of medicine. There is an ... 
The Number of Ring Homomorphisms from ℤ to ℤ N N
(Kenyatta University, 201811)This research deals with determining the number of homomorphism : ℤ n ℤ n , an aspect that seems to have been left open for many years. Several researches on the number of ring homomorphisms have been conducted and ... 
Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating
(Kenyatta University, 201812)Magnetohydrodynamic boundary layer flow involving a fluid of varying viscosity subject to thermal radiation and Newtonian heating has various applications in industry and engineering some of the applications include designing ... 
On the Cycle Indices of the Cyclic and Dihedral Groups Acting on the Cartesian Product Of X
(Kenyatta University, 201810)The concept of cycle index was first discovered by Howard Redfield in 1927. The cycle index formulas of various group actions have been computed since then by various authors. The formulas have been used to count graphs ... 
Influence of Inclined Magnetic Field and Thermophoresis on Heat and Mass Transfer Wedge Flow with Variable Thermal Conductivity
(Kenyatta University, 201810)In my study, I investigate the influence of thermophoresis and a constant inclined magnetic field on a fluid flowing over a porous wedge. The inclination is an acute angle to the horizontal axis. The effects of variable ... 
Effect of Inclined Magnetic Field and Injection on Magneto Hydrodynamic Boundary Layer Flow over a Porous Exponentially Stretching Sheet in Presence of Thermal Radiation
(Kenyatta University, 201810)In this study, MHD boundary layer flow of a viscous incompressible fluid over a porous exponentially stretching sheet with an inclined magnetic field in presence of thermal radiation and injection is analyzed. The general ... 
Hall Effect on a Steady MagnetoConvection and Radiative Heat Transfer past a Porous Plate
(Kenyatta University, 201812)Heat transfer plays a great role in engineering processes, blowing of fluids is used in designing thrusters and prevention of corrosion. Suction is used in film cooling and coating of wires in chemical engineering. A lot ... 
Determination of the Effects of Applying Variable Pressure Gradient to a Magnetohydrodynamic Fluid Flowing Between Plates with Inclined Magnetic Field
(Kenyatta University, 201811)In this study the effects of applying variable pressure gradient to a MHD fluid flowing between two plates in an inclined magnetic field was carried out. It involved an unsteady hydromagnetic fluid flowing through two ... 
Extensions of the Field of Rational Numbers Whose Galois Group IS Isomorphic To A Group of Order Eight
(Kenyatta University, 201811)The Galois group of a certain type of field extension is a specific group associated with the field extension. The study of field extensions and their relationship to the polynomials that give rise to them via the Galois ... 
Effect of Variable Fluid Properties and Thermophoresis on Unsteady Forced Convective Magnetohydrodynamics Boundary Layer Flow along a Permeable Stretching/Shrinking Wedge
(Kenyatta University, 201811)The study takes into account temperature dependent viscosity and thermal conductivity as well as induced magnetic field in describing the fluid flow .The partial differential equations governing the unsteady flow are ... 
Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating
(Kenyatta University, 2018)Magnetohydrodynamic boundary layer flow involving a fluid of varying viscosity subject to thermal radiation and Newtonian heating has various applications in industry and engineering some of the applications include designing ...