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Existence of Two Positive Solutions for Second Order Four- Point Boundary Value Problems in cone. Thesis

Kitesa Ragasa Duresa; Wesen Legesa; Girma Kebede (2022-02-06)

This thesis is concerned the existence of two positive solutions for second order four- point boundary value problem. It also focused on constructing Green function for corresponding non trivial homogeneous equation by ...

A common fixed point theorem for Ciric type co-cyclic contraction mappings in complete dislocated quasi metric space Thesis

Anteneh Assefa; Alemayehu Geremew (2016-09)

The purpose of this research was to establish the existence of a common fixed point for Ciric type co-cyclic contraction mapping in complete dislocated quasi metric space and to show the uniqueness of the common fixed ...

Analytical Solution of Two Dimensional Fourth Orders Parabolic Partial Differential Equation Using Triple Laplace Transform Coupled With Iterative Method. Thesis

Diriba Boka Addam; Yesuf Obsie; Ademe Kebede (2022-02-01)

This study presents triple Laplace transform coupled with iterative method to obtain the exact solution of two dimensional nonlinear fourth order parabolic partial differential equation subject to the appropriate initial ...

Existence of three positive solutions for second-order four - point boundary value problems in cone banach space Thesis

Abdi Teshome; Wesen Legesse; Girma Kebede (2022-02)

This thesis is concerned with second-order four-point boundary value problems. It also focused on constructing Green`s function for the corresponding homogenous equation by using Green`s function properties. We established ...

Non Standard Finite Difference Method for Singularly Perturbed Boundary Value Problems with Negative Shift Parameter Thesis

Adamu Mokonen Gebre; Gemechis File Duressa; Habtamu Garoma Debela (2022-02-06)

In this thesis, we consider singularly perturbed differential equation containing neg ative shift parameter on the convection term. The considered problem exhibits boundary layer on the left or right side of the domain, ...

Stability and Hopf Bifurcation Analysis of Prey-Predator Mathematical Model with Delay Thesis

Dereje Gosa; Chernet Tuge; Dinka Tilahun (2022-02-06)

The dynamic relationship between predators and their prey has long been and will continue to be one of the dominant themes of research in applied mathematics and ecology. Stability and Hopf Bifurcation Analysis of ...

Mathematical Modeling and Analysis of Corruption Dynamics with Atangana-Baleanu Fractional Derivative in the Sense of Caputo Thesis

Yismaw Bizuayehu; Chernet Tuge; Dinka Tilahun (2022-02)

Problems in engineering, computational science, physical and biological sciences are using increasingly sophisticated mathematical techniques. In this thesis, Mathematical model of corruption dynamics in the sense of ABC ...

Fractional Nonlinear Klein-Gordon Equation via Conformable Double Laplace Transform Method Thesis

Mandefro Taye; Yesuf Obsie; Ademe Kebede (2022-02)

In this work, conformable double Laplace transform is successfully applied on one -dimensional fractional non-linear Klein-Gordon equation to find approximate analytical solu-tions. To show the applicability of the method ...

A Fitted Mesh Numerical Method for Solving Singularly Perturbed Burger-Fisher Equation Thesis

Nayilot Ejara; Gemechis File Duressa; Fasika Wondimu Gelu (2021-09)

In this thesis, we presented a fitted mesh numerical method for solving singularly perturbed Burger- Fisher equation. Since the problem is nonlinear, we apply quasi-linearizion technique on the nonlinear part of the ...

Common fixed Point results on complete b-metric spaces and dislocated quasi b-metric Spaces Thesis

Shimeles Deyou; Kidane Koyas; Aynalem Girma (2021-11)

In this thesis, we established common fixed point theorems and proved the existence and uniqueness of common fixed points for a pair of self-maps in the setting of complete b-metric spaces and dislocated quasi b-metric ...

Stability and Bifurcation Analysis of Activator-inhibitor Reaction Diffusion System Thesis

Gosu Alemu; Chernet Tuge; Dinka Tilahun (2021-10)

In this thesis, stability and bifurcation analysis of activator-inhibitor reaction diffusion system was considered. The system was analyzed into two parts. The first part is without diffusion. Without diffusion, the system ...

Two dimensional fourth order time fractional parabolic equations and its analytical solutions by Fractional Reduced Differential Transform Method Thesis

Aklilu Aweke Wolde; Yesuf Obsie; Ademe Kebede (2021-10)

In this manuscript, the solution of two dimensional fourth order time-fractional non- homogenous parabolic equations is solved by using Fractional Reduced Differential Transform Method. The efficiency of FRDTM is confirmed ...

A Monotone Hybrid Finite Difference Method For Singularly Perturbed Burgers’ Equation Thesis

Tekle Mengesha Ofgea; Gemechis File Duressa; Wakjira Tolassa Gobena (2021-09-06)

In this thesis, we deal with a monotone hybrid finite difference method for singularly perturbed Burgers’ equation. First, we apply quasilinearization process to tackle the non-linearity in the equation. We constructed ...

Generalized Volterra Type Integral Operators Acting Between Generalized Fock Spaces Thesis

Gobena Dugassa; Mafuz Humer (2021-07-12)

The theory and study of integral operators is a wide history. Specially, boundedness and compactness properties of different integral operators have been widely studied on several spaces. Due to this, there is a big ...

Existence and Uniqueness of Positive Solutions for Caputo Fractional Order Boundary Value Problems Thesis

Abebech Yifru; Wosen Legese; Girma Kebede (2021-07-12)

A class of two-point boundary value problems whose highest-order term is a Ca puto fractional derivative of order α ∈ (1,2) with a reaction term is considered. It focused on constructing Green’s function for corresponding ...

Analysis of Magnetohydrodynamics (MHD) Boundary Layer flow of Nano fluid flow over a Nonlinear Stretching Sheet in the Presence of Thermal Radiation, Chemical Reaction and Partial Slip Boundary Condition Thesis

Tsehayneh Endalew; Mitiku Daba; Habtamu Bayissa (2020-08)

This paper presents Analysis of Magneto Hydrodynamics (MHD) Boundary Layer Nano fluid flow of Heat Transfer over a Nonlinear Stretching Sheet Presence of Thermal Radiation, Chemical Reaction and Partial Slip with Boundary ...

Fixed Point Theorems for a-F-Convex Contraction Mappings in b-Metric Spaces Thesis

Kitila Wirtu; Kidane Koyas; Solomon Gebregiorgis (2020-08)

In this research we established fixed point theorems for a-F-convex contraction mappings in b-metric space and proved the existence and uniqueness of fixed points for such mappings. Our result extend and generalize the ...

A fixed point theorem for zw-contraction mappings in p-metric spaces Thesis

Dereje Abdissa; Dula Tolera; Sisay Dibaba (2020-08)

n this thesis we established a ZW-contraction mappings with respect to simulation function z 2 Z in complete P- metric Spaces. Our result extends the work of (Khojasteha et al., 2015) from metric space to P-metric spaces.

Existence of Positive Solutions for Second Order Undamped Integral Boundary Value Problems Thesis

Deginet Worku; Wesen Legesse; Girma Kebede (2020-08)

This thesis is concerned with existence of positive solutions for second order undamped integral boundary value problem . It also presents the construction of Green’s function for corresponding non-trivial homogeneous ...

Solution of two dimensional nonlinear sine-gordon equation by using the reduced differential transform method Thesis

Alemayehu tamirie; Yesuf obsie; Ademe kebede (2020-02)

In this study, the reduced differential transform method (RDTM) was applied to solve two dimensional nonlinear sine-Gordon equation subject to the appropriate initial conditions arising in various physical models. This ...

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