Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
Browse
6 results
Search Results
Article Fractional Transmission Line with Losses(2014) Gómez-Aguilar, José Francisco; Baleanu, DumitruIn this manuscript, the fractional transmission line with losses is presented. The order of the Caputo derivative is considered as 0 < β ≤ 1 and 0 < γ ≤ 1 for the fractional equation in space and time domain, respectively. Two cases are solved, with fractional spatial and fractional temporal derivatives, and also numerical simulations were carried out, where there are taken both derivatives in simultaneous form. Two parameters σx and σt are introduced and a physical relation between these parameters is reported. Solutions in space and time are given in terms of the Mittag-Leffler functions. The classic cases are recovered when β and γ are equal to 1.Article Do Users Sacrifice Security for Speed and Ease-of-Use on Smartphones?: A Case Study on Attitude(IGI Global, 2020) Pusatlı, Tolga; Koyuncu, Murat; Nakip, MahirStoring credentials on smartphones to perform online activities increases ease-of-use (EoU) and speed. However, such practices increase security risks, especially if users use a number of applications or store data on their smartphones. Risks become more complicated by keeping smartphones online. This work aims to find potential relationships between security perceptions of smartphone users and their ease-of-use and speed preferences. Two user attitudes are defined as “not considering risk” and “risk exaggeration.” User ease-of-use and speed preferences are limited with the factors related to storing credentials on a smartphone and always keeping the device online. A survey of 154 participants was conducted through convenience sampling. Through regression analyses, logarithmic causality relations are found between EoU and speed and attitudes of not considering risk or risk exaggeration; so the participants preferred to take advantage of EoU and speed despite the fact that they were aware of the risks.Article A Prelımınary Work On Investıgatıng Unıted Natıons’s Egovernment Crıterıa In Mıddle East Countrıes(2017) Hussein, Mohammed; Pusatlı, O. TolgaThe benefits of e-government initiatives empowered by the information and communication technologies, are acknowledged widely with assessment criteria published by the United Nations regularly over the last 15 years. One of the reasons that United Nations has taken such assessment into agenda is the apparent advantages of such initiatives over the citizen, society and government. In parallel literature review and current status of Middle East countries, these issues are investigated with examples: Internet users, awareness and training, culture, intention to use e-government applications of the citizens, portal and interoperability. It is noted that assessment of human capital indices for these countries should be read carefully while considering these topics. The findings reveal the impact of human capital index on evaluating egovernment performance; geographical area and population also affect the adoption of e-government. For this, follow-up work is suggested to investigate the level of information and communication technology and computer literacy along with these factors in the region. This research has limitations which include the sources of information, exclusive economic and legal issues and a number of measurement methods.Article Complex b-spline collocation method for solving weaklysingular volterra integral equations of the second kind(Univ Miskolc Inst Math, 2015) Jafari, H.; Ramezani, M.; Johnston, S. J.; Baleanu, DumitruIn this paper we propose a new collocation type method for solving Volterra integral equations of the second kind with weakly singular kernels. In this method we use the complex B-spline basics in collocation method for solving Volterra integral. We compare the results obtained by this method with exact solution. A few numerical examples are presented to demonstrate the effectiveness of the proposed method.Article Common fixed point theorems in cone Banach spaces(Hacettepe Univ, FAC Sci, 2011) Abdeljawad, Thabet; Karapınar, Erdal; Taş, Kenan; Tas, Aysegul; Kumar, AnilRecently, E. Karapınar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.Article Numerical and Bifurcations Analysis for Multi Order Fractional Model of Hiv Infection of Cd4(+)T-Cells(Univ Politehnica Bucharest, 2016) Alipour, Mohsen; Arshad, Sadia; Baleanu, DumitruIn this paper, we solve the dynamical system of HIV infection of CD4(+) T cells within the multi-order fractional derivatives. The Bernstein operational matrices in arbitrary interval [a,b] are applied to obtain the approximate analytical solution of the model. In this way, the fractional differential equations are reduced to an algebraic easily solvable system. The obtained solutions are accurate and the method is very efficient and simple in implementation. With the help of bifurcation analysis, we acquired the critical value of viral death rate, that is, if viral death rate is greater than the critical value then level of virus particles starts to decline and thus free virus will eventually eliminate and patient is cured. Further, we found the threshold for viral infection rate analytically, which assures the stability of uninfected equilibrium and virus will ultimately eradicate.