Browsing by Author "Uçar, Sümeyra"
Now showing items 1-20 of 25
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Analysis of a basic SEIRA model with Atangana-Baleanu derivative
Uçar, Sümeyra (Amer Inst Mathematical Sciences-AIMS, 2020)Since computer worms have very acute and negative effects on computer systems, they are considered as one of the malicious bodies that induce serious issues in these structures. This is why numerous efforts have been given ... -
Analysis of hepatitis B disease with fractal-fractional Caputo derivative using real data from Turkey
Uçar, Sümeyra (Elsevier, 2022)Scholars and analysts have been increasingly focusing on the concept of modeling contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one is able to designate traditional epidemiological ... -
Complex Conformable Derivative
Uçar, Sümeyra; Özgür, Nihal Yılmaz; Eroğlu, Beyza Billur İskender (Springer Heidelberg, 2019)In this study, we introduce a new complex conformable derivative and integral with noninteger order which coincides the classical complex derivative and integral for = 1. We examine basic properties of these newly defined ... -
Complex conformable Rolle's and mean value theorems
Uçar, Sümeyra; Özgür, Nihal (Springer Heidelberg, 2020)In this paper, we present the complex Rolle's and Mean Value Theorems for alpha-holomorphic functions and give some related results and applications of these theorems. -
Conformable Flett’s theorem and Sahoo and Riedel theorem
Uçar, Sümeyra (2023)Since fractional analysis has attracted considerable interest by virtue of their ability to model complex phenomena, it is crucial to investigate properties of fractional derivatives. In this research, accordingly, we first ... -
Dynamical analysis of fractional order model for computer virus propagation with kill signals
Özdemir, Necati; Uçar, Sümeyra; Eroğlu, Beyza Billur İskender (Walter De Gruyter GMBH, 2020)The kill signals are alert about possible viruses that infect computer network to decrease the danger of virus propagation. In this work, we focus on a fractional-order SEIR-KS model in the sense of Caputo derivative to ... -
Existence and uniqueness results for a computer virus spreading model with atangana-baleanu derivative
Uçar, Sümeyra (Manisa Celal Bayar Üniversitesi Fen Bilimleri Enstitüsü, 2021)A virus is programs that are often hidden inside a file that appears to be harmless and cause unexpected and unwanted events on the computer when the file is run. Viruses, unlike others, are software designed to maliciously ... -
Existence and uniqueness results for a smoking model with determination and education in the frame of non-singular derivatives
Uçar, Sümeyra (Amer Inst Mathematical Sciences-AIMS, 2021)These days, it is widely known that smoking causes numerous diseases, as well as resulting in many avoidable losses of life globally, and therefore encumbers the society with enormous unnecessary burdens. The aim of this ... -
Finite Blaschke products and the golden ratio
Özgür, Nihal; Uçar, Sümeyra (Ankara Üniv. Fen Fakültesi, 2021)Geometric properties of finite Blaschke products have been intensively studied by many different aspects. In this paper, our aim is to study geometric properties of finite Blaschke products related to the golden ratio ... -
A fractional mixing propagation model of computer viruses and countermeasures involving mittag-leffler type kernel
Uçar, Sümeyra; Özdemir, Necati; Hammouch, Zakia (Springer International Publishing Ag, 2020)Countermeasures are recognized as a remarkable effort to comprehend the computer virus problem and estimate its forthcoming actions. Countermeasure-Competing (CMC) strategy is a conception comprising viruses and countermeasures. ... -
A fractional SAIDR model in the frame of Atangana-Baleanu derivative
Uçar, Esmehan; Uçar, Sümeyra; Evirgen, Fırat; Özdemir, Necati (MDPI, 2021)It is possible to produce mobile phone worms, which are computer viruses with the ability to command the running of cell phones by taking advantage of their flaws, to be transmitted from one device to the other with ... -
Investigation of e-cigarette smoking model with mittag-leffler kernel
Uçar, Esmehan; Uçar, Sümeyra; Evirgen, Fırat; Özdemir, Necati (Walter De Gruyter GMBH, 2021)Smoking is the most lethal social poisoning event. The World HealthOrganization defines smoking as the most important preventable cause of disease.Around 4.9 million people worldwide die from smoking every year. ... -
Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
Uçar, Sümeyra; Uçar, Esmehan; Özdemir, Necati; Hammouch, Zakia (Pergamon-Elsevier Science LTD, 2019)This paper ensures meticulous mathematical study for analyzing the dynamics of smoking model and its public health with Atangana-Baleanu derivative. The existence and uniqueness problems to relevant model are examined via ... -
Mathematical analysis and simulation of a giving up smoking model within the scope of non-singular derivative
Uçar, Sümeyra; Evirgen, Fırat; Özdemir, Necati; Hammouch, Zakia (Inst Mathematics & Mechanics, 2022)Smoking has caused the illness and death of many people around the world for a long time. Therefore, many researchers have investigated many methods to quit smoking and reduce its use. In this paper, a smoking model with ... -
Modelling influenza a disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates
The objective of this manuscript is to present a novel approach to modeling influenza A disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator into the model. Particularly distinct contact ... -
A new coding/decoding algorithm using fibonacci numbers
Taş, Nihal; Uçar, Sümeyra; Özgür, Nihal Yılmaz; Kaymak, Öznur Öztunç (World Scientific Publ Co Pte Ltd, 2018)In this paper, we present a new method of coding/decoding algorithms using Fibonacci Q-matrices. This method is based on the blocked message matrices. The main advantage of our model is the encryption of each message matrix ... -
Novel analysis of the fractional glucose-insulin regulatory system with non-singular kernel derivative
Uçar, Sümeyra; Özdemir, Necati; Koca, İlknur; Altun, Eren (Springer Heidelberg, 2020)Diabetes mellitus, at the forefront of the diseases of our age, is a type of disease that plays a leading role in the formation of many deadly diseases and is very common all over the world. In this work, based on the ... -
On some geometric properties of finite blaschke products
Özgür, Nihal Yılmaz; Uçar, Sümeyra (Int Electronic Journal Geometry, 2015)In this paper we consider some geometric properties of finite Blaschke products for the unit disc and for the upper half plane. -
On some properties of generalized Fibonacci and Lucas polynomials
Uçar, Sümeyra (2017)In this paper we investigate some properties of generalized Fibonacci and Lucas polynomials. We give some new identities using matrices and Laplace expansion for the generalized Fibonacci and Lucas polynomials. Also, we ... -
Pell coding and pell decoding methods with some applications
Taş, Nihal; Uçar, Sümeyra; Özgür, Nihal Yılmaz (Univ Calgary, 2020)We develop a new coding and decoding method using the generalized Pell (p, i)-numbers for p = 1. The relations among the code matrix elements, error detection, and correction have been established for coding theory when p ...
