Turkic World Mathematical Society Journal of Applied and Engineering Mathematics
https://hdl.handle.net/11729/2387
Turkic World Mathematical Society Journal of Applied and Engineering Mathematics Dergisine ait koleksiyonları listeler.2022-12-05T17:43:15ZSolving existence problems via F-contraction in modified b-metric spaces
https://hdl.handle.net/11729/4962
Solving existence problems via F-contraction in modified b-metric spaces
Karapınar, Erdal; Sedghi, Shaban; Shobe, Nabi
In this paper, we introduce a new abstract structure, expanded b-metric, as an natural extension of b-metric. We also define basic topological notions in expanded bmetric to able to investigate the existence of fixed point for such mappings under various F-contractive conditions. We provide example to illustrate the results presented herein.
2022-01-01T00:00:00ZA two phase age dependent and two-mutation stochastic model of carcinogenesis
https://hdl.handle.net/11729/4961
A two phase age dependent and two-mutation stochastic model of carcinogenesis
Venkiteswaran, Gopalakrishnan; Udayabaskaran, Swaminathan; Dora Pravina, C. Thangaraj; Sreelakshmi, Subbarayan
An age dependent and two-mutation stochastic model of carcinogenesis is formulated and studied. In this model, we introduce a fitness age T, (a positive constant) for each cell to divide into two cells. A normal cell if its age is not greater than T either divides into two normal cells or divides into one normal cell and one intermediate cell or dies. A normal cell if its age is greater than T either divides into one normal cell and one intermediate cell, or divides into two intermediate cells or dies. An intermediate cell if its age is not greater than T divides into two intermediate cells or divides into one intermediate cell and one malignant cell or dies. An intermediate cell if its age is greater than T divides into one intermediate cell and one malignant cell or divides into two malignant cells or dies. It is assumed that, once a malignant cell is produced, it generates a malignant tumor with probability 1. We obtain the mean numbers of normal, intermediate and malignant cells. It is shown that the production of malignant cells in one-mutation model is faster than that in two-mutation model. A numerical illustration is presented to highlight the performance of the model.
2022-01-01T00:00:00ZWhole domination in graphs
https://hdl.handle.net/11729/4960
Whole domination in graphs
Omran, Ahmed Abd Ali; Ibrahim, Thaer A.
In this paper, a new parameter of domination number in graphs is defined which is called whole domination number denoted by γwh(G). Some bounds of whole domination number and the number of edges depend on it has been established. Furthermore, the effect of deletion vertex, edge, or add edge have been studied. Also, the effect of the contracting an edge is determined. Finally, some operations between the two graphs have been calculated.
2022-01-01T00:00:00ZAnalysis of a dynamic contact problem for electro-viscoelastic materials with Tresca’s friction
https://hdl.handle.net/11729/4959
Analysis of a dynamic contact problem for electro-viscoelastic materials with Tresca’s friction
Douib, Bachir; Ammar, Tedjani Hadj; Ahmed, Abdelaziz Azeb
We consider a mathematical model which describes the dynamic process of contact between two electro-viscoelastic bodies with damage. The contact is bilateral and is modeled with Tresca’s friction law. The damage of the materials caused by elastic deformations. We derive a variational formulation for the model which is in the form of a system involving the displacement field, the electric potential and the damage. Then we provide the existence of a unique weak solution to the model. We also study the finite element approximations of the problem and derive error estimates. Finally, we present numerical simulation results in the study of a two-dimensional example.
2022-01-01T00:00:00Z