Due to the complex and chaotic characteristics of elecrtospun nanofiber membrane, fractal theory is a suitable mathematical framework. Using the fractal theory, Matlab and other computer software in Mathematics, the fractal properties of pore distribution of elecrtospun nanofiber...
Open access
Research Article10.9734/jamcs/2020/v35i730307
The Differential Transform Method is a powerful analytical method that can solve nonlinear partial differential equations. Yet, the method cannot be used to solve time-dependent partial differential equations that involve more than one partial derivative with respect to the tempo...
Open access
Research Article10.9734/jamcs/2020/v35i730306
The aim of the article is to extend the concept of Ideally statistical convergence from 2 normed spaces to n-normed space. We have also study and prove some important algebraic and topological properties of Ideally-statistical convergence of real sequences in n-normed space. In t...
Open access
Research Article10.9734/jamcs/2020/v35i730305
Combinatorial problems which have been proven to be NP-hard are faced in Higher Education Institutions and researches have extensively investigated some of the well-known combinatorial problems such as the timetabling and student project allocation problems. However, NP-hard prob...
Open access
Research Article10.9734/jamcs/2020/v35i730304
In this paper, we present the New Modified Adomian Decomposition Method which is a modification of the Modified Adomian Decomposition Method. The new method incorporates the inverse linear operator theorem into the modified Adomian decomposition method for the calculation of u0....
Open access
Research Article10.9734/jamcs/2020/v35i730303
Tuberculosis, an airborne infectious disease, remains a major threat to public health in Kenya. In this study, we derived a system of non-linear ordinary differential equations from the SLICR mathematical model of TB to study the effects of hygiene consciousness as a control stra...
Open access
Research Article10.9734/jamcs/2020/v35i730302
In this paper, we use a surprised system to construct some exact solutions of compressible Euler equations with two and three dimension. Furthermore, we also give other exact solutions of three dimension incompressible Euler equations.
Open access
Research Article10.9734/jamcs/2020/v35i730300
Numerical simulation of a deterministic model of HIV transmission between major cities in Kenya is carried out. The model considered two closed patches connected by the commuter movements of truck drivers being the agents of HIV transmission. The transmission kernel being the fun...
Open access
Research Article10.9734/jamcs/2020/v35i730298
Corruption is the misuse of power or resources for private gain. This undermines economic development, political stability, and government legitimacy, the society fabric, allocation of resources to sectors crucial for development, and encourages and perpetuates other illegal oppo...
Open access
Research Article10.9734/jamcs/2020/v35i730299
The propose of this paper is to introduce and investigate a weak form of ω-open set in grill topological spaces. We introduce the notion of -open set as a form stronger than βω-open set and weaker than ω-open set and -open set. By using this form, we study the generalization prop...
Open access
Research Article10.9734/jamcs/2020/v35i630296
In this study, we introduce some approaches, geometrical and algebraic, which help to give further understanding of symmetric spaces. Symmetric space is a very important field for understanding abstract and applied features of spaces. We have introduced Riemannian Manifold, Lie g...
Open access
Research Article10.9734/jamcs/2020/v35i630297
Aims: As shown in literature, several authors have adopted various individual frailty mixing distributions as a way of dealing with possible heterogeneity due to unobserved covariates in a group of insurers. This research contribution is to generalize the frailty mixing distribut...
Open access
Research Article10.9734/jamcs/2020/v35i630295
In this work we prove the exact controllability of the wave equation by acting on a strategic zone of the border of a non-convex polygonal domain with crack. Indeed, by combining two methods: that of Grisvard on the exact controllability on domains with corners and that of EL. Ja...
Open access
Research Article10.9734/jamcs/2020/v35i630294
The synchronous Boolean network model is a simple and powerful tool in describing, analyzing and simulating cellular biological networks. This paper seeks a complete understanding of the dynamics of such a model by utilizing conventional matrix methods, rather than scalar methods...
Open access
Research Article10.9734/jamcs/2020/v35i630293
In this article we introduce new notions of (fuzzy) n-fold positive implicative ideals, (fuzzy) n-fold weak positive implicative ideals, and (fuzzy) n-fold weak implicative (weak) ideals in BCK-algebras and investigate some of their properties.
Open access
Research Article10.9734/jamcs/2020/v35i630292