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In this dissertation, we use the Natural transform decomposition method to obtain approximate
analytical solution of fractional differential equations. This technique is a combination
of decomposition methods and natural ...
Some Epidemic models with fractional derivatives were proved to be well-defined, well-posed and more accurate [34, 51, 116], compared to models with the conventional derivative. An Ebola epidemic model with non-linear ...
In this thesis, a mathematical model for HIV and TB co-infection with TB
treatment among populations of Ethiopia is developed and analyzed. The
TB model includes an age of infection. We compute the basic reproduction
numbers ...
Which matrices can be written as sums or products of square-zero matrices? This
question is the central premise of this dissertation. Over the past 25 years a signi -
cant body of research on products and linear combinations ...
The first few chapters of the dissertation will catalogue what is known regarding z-ideals in
commutative rings with identity. Some special attention will be paid to z-ideals in function
rings to show how the presence ...
Finding an optimal solution for the logic circuit design problem is challenging and time-consuming especially
for complex logic circuits. As the number of logic gates increases the task of designing optimal logic ...
The purpose of the thesis is to study completeness of abstract spaces. In particular,
we study completeness in partial metric spaces, partial metric type spaces, dislocated
metric spaces, dislocated metric type spaces ...
This study reports on an investigation into the manner in which mathematical symbols influence learners’ understanding of mathematical concepts. The study was conducted in Greater Sekhukhune and Capricorn districts of ...
We say a graph is locally P if the induced graph on the neighbourhood of every vertex has the property P. Specically, a graph is locally traceable (LT) or locally hamiltonian (LH) if the induced graph on the neighbourhood ...
Abstract
Kermack-McKendrick epidemic model is considered as the basis from which many other compartmental models were developed. But the development of fractional calculus applied to mathematical epidemiology ...
Abstract
In this paper, the analysis of a reactive hydromagnetic Poiseuille fluid flow under different chemical kinetics through a channel in the presence of a heat source is carried out. An exothermic reaction ...
Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat A; Khan, Aziz(2015-09-17)
Abstract
The existence criterion has been extensively studied for different classes in fractional differential equations (FDEs) through different mathematical methods. The class of fractional order boundary ...
Johnston, Sarah Jane; Jordaan, Kerstin(Elsevier, 2015)
In this paper, we prove the quasi-orthogonality of a family of 2F2 polynomials and several classes of 3F2 polynomials that do not appear in the Askey scheme for hypergeometric orthogonal polynomials. Our results include, ...
We study variants of P-frames and associated rings, which can be viewed as natural
generalizations of the classical variants of P-spaces and associated rings. To be more
precise, we de ne quasi m-rings to be those rings ...
This dissertation reviews the theory of fast matrix multiplication from a multilinear-algebraic point of view, as
well as recent fast matrix multiplication algorithms based on discrete Fourier transforms over nite ...
This thesis deals with cohomologies on the symplectic quotient of a Frölicher space which is locally diffeomorphic to a Euclidean Frölicher subspace of Rn of constant dimension equal to n. The symplectic reduction under ...
This study uses aspects of time series methodology to model and forecast major taxes such as Personal Income Tax (PIT), Corporate Income Tax (CIT), Value Added Tax (VAT) and Total Tax Revenue(TTAXR) in the South African ...
This MSc report discusses the attributes of W Ursae Majoris (W UMa) stars and an investigation into the Minimum Entropy (ME) method, a digital technique applied to the determination of their periods of variability. A Python ...
This dissertation studies the pricing of Outside barrier call options, when their activation starts at a
hitting time. The pricing of Outside barrier options when their activation starts at time zero, and the
pricing of ...