She received her undergraduate degree in mathematics from Gazi University in 2016 and her master's degree in mathematics from Burdur Mehmet Akif Ersoy University in 2019. She is currently studying for her doctorate at Burdur Mehmet Akif Ersoy University. She has been working as a mathematics teacher in various schools since 2016. His main field of study is fractional calculus.
Bu tez çalışmasında uygulamalı matematiğin önemli bir çalışma alanı olan kesirli kalkülüs teorisi... more Bu tez çalışmasında uygulamalı matematiğin önemli bir çalışma alanı olan kesirli kalkülüs teorisine giriş yapılmış olup, bu alanda en çok kullanılan kesirli basamaktan türev operatörleri ile ilgili genel bilgiler verilmiştir. Matematiksel modellemede önemli bir alana sahip olan hastalık modelleri hakkında bilgi verilmiştir. SITR modelinin matematiksel incelemesi yapılmıştır. Kesirli basamaktan SITR modelinin kararlılık analizi ve çözümlerinin varlık ve tekliği incelenmiştir. Son olarak SITR modelinin çözümleri için uygun bir iterasyon Atangana-Toufik yöntemiyle elde edilmiştir. & In this thesis, fractional studies which are an important area of applied mathematics are considered. We have investigated the basic theory of fractional differential equations involving fractional derivatives. Disease models which have an important area in mathematical modeling are discussed. Specially, mathematical analysis of the SITR model is considered. The stability analysis of SITR model and existence and uniqueness of its solutions have been obtained. Finally, a suitable iteration for the solutions of the SITR model is obtained by Atangana-Toufik method.
4th International Conference on Computational Mathematics and Engineering Sciences, 2019
In this work, we are interested in investigating the disease model using the concept of fractiona... more In this work, we are interested in investigating the disease model using the concept of fractional operator of Caputo differentiations. Disease models which are an important area in mathematical modeling are discussed. Specially, mathematical analysis of the SITR model is considered. Finally, the stability analysis of SITR model and existence and uniqueness of its solutions have been obtained.
In our paper, the spread of SIQR model with fractional order differential equation is considered... more In our paper, the spread of SIQR model with fractional order differential equation is considered. We have evaluated the system with fractional way and investigated stability of the non-virus equilibrium point and virus equilibrium points. Also, the existence of the solutions are proved. Finally, the efficient numerical method for finding solutions of system is given.
A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical... more A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical models have been considered and new methods have been used for approaching of these models. In this paper we are considering mathematical modeling of nuclear family model with fractional order Caputo derivative. Also the existence and uniqueness results and numerical scheme are given with Adams-Bashforth scheme via fractional order Caputo derivative.
Bu tez çalışmasında uygulamalı matematiğin önemli bir çalışma alanı olan kesirli kalkülüs teorisi... more Bu tez çalışmasında uygulamalı matematiğin önemli bir çalışma alanı olan kesirli kalkülüs teorisine giriş yapılmış olup, bu alanda en çok kullanılan kesirli basamaktan türev operatörleri ile ilgili genel bilgiler verilmiştir. Matematiksel modellemede önemli bir alana sahip olan hastalık modelleri hakkında bilgi verilmiştir. SITR modelinin matematiksel incelemesi yapılmıştır. Kesirli basamaktan SITR modelinin kararlılık analizi ve çözümlerinin varlık ve tekliği incelenmiştir. Son olarak SITR modelinin çözümleri için uygun bir iterasyon Atangana-Toufik yöntemiyle elde edilmiştir. & In this thesis, fractional studies which are an important area of applied mathematics are considered. We have investigated the basic theory of fractional differential equations involving fractional derivatives. Disease models which have an important area in mathematical modeling are discussed. Specially, mathematical analysis of the SITR model is considered. The stability analysis of SITR model and existence and uniqueness of its solutions have been obtained. Finally, a suitable iteration for the solutions of the SITR model is obtained by Atangana-Toufik method.
4th International Conference on Computational Mathematics and Engineering Sciences, 2019
In this work, we are interested in investigating the disease model using the concept of fractiona... more In this work, we are interested in investigating the disease model using the concept of fractional operator of Caputo differentiations. Disease models which are an important area in mathematical modeling are discussed. Specially, mathematical analysis of the SITR model is considered. Finally, the stability analysis of SITR model and existence and uniqueness of its solutions have been obtained.
In our paper, the spread of SIQR model with fractional order differential equation is considered... more In our paper, the spread of SIQR model with fractional order differential equation is considered. We have evaluated the system with fractional way and investigated stability of the non-virus equilibrium point and virus equilibrium points. Also, the existence of the solutions are proved. Finally, the efficient numerical method for finding solutions of system is given.
A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical... more A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical models have been considered and new methods have been used for approaching of these models. In this paper we are considering mathematical modeling of nuclear family model with fractional order Caputo derivative. Also the existence and uniqueness results and numerical scheme are given with Adams-Bashforth scheme via fractional order Caputo derivative.
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