Yazar "Alkan, Sertan" için listeleme
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Approximate analytical solutions of a class of non-linear fractional boundary value problems with conformable derivative
Alkan, Sertan (Serbian Society of Heat Transfer Engineers, 2021)In this paper, it is presented that an approximate solution of a class of non-linear differential equations with conformable derivative under boundary conditions by using sinc-Galerkin method that is not used to approximately ... -
Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order
Alkan, Sertan; Hatipoğlu, Veysel Fuat (Tbilisi Centre For Mathematical Sciences, 2017)In this study, sine-collocation Method is introduced for solving Volterra-Fredholm integro-differential equations of fractional order. Fractional derivative is described in the Caputo sense, Obtained results are given to ... -
A collocation method for solving boundary value problems of fractional order
Alkan, Sertan; Seçer, Aydın (Sakarya Üniversitesi, 2018)In this work, the Sinc-Collocation Method (SCM) is used to find the approximate solutions of the secondorder fractional boundary value problems based on the conformable fractional derivative. For this purpose, a theorem ... -
Dc motor için haar dalgacık sıralama yöntemi kullanılarak çıkış fonksiyonu elde edilmesi ve pıd ile hız kontrolü
Arslan, Eren (İskenderun Teknik Üniversitesi / Mühendislik ve Fen Bilimleri Enstitüsü / Elektrik-Elektronik Mühendisliği Anabilim Dalı, 2019)Bu çalışmada, DC motorun hız kontrolünü yapabilmek için PID kontrolcü tasarlanmıştır. Modeli belli olan bir DC motorun hız kontrolünü yapabilmek için, çıkış fonksiyonunun dθ/dt hesaplanması gerekmektedir. Bu çalışmada çıkış ... -
An efficient scheme for solving a system of fractional differential equations with boundary conditions
Hatipoğlu, Veysel Fuat; Alkan, Sertan; Seçer, Aydın (Springer International Publishing, 2017)In this study, the sinc collocation method is used to find an approximate solution of a system of differential equations of fractional order described in the Caputo sense. Some theorems are presented to prove the applicability ... -
Fibonacci Collocation Method for Solving a Class of Nonlinear Di erential Equations
Çakmak, Musa; Alkan, Sertan (Mathematicians AssociationMatematikçiler Derneği, 2023)In this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear differential equations with initial conditions. The problem is firstly reduced into a nonlinear ... -
A novel fractional operator application for neural networks using proportional Caputo derivative
Altan, Gökhan; Alkan, Sertan; Baleanu, Dumitru (Springer, 2022)In machine learning models, one of the most popular models is artificial neural networks. The activation function is one of the important parameters of neural networks. In this paper, the sigmoid function is used as an ... -
A numerical approach to solve the model of an electromechanical system
Alkan, Sertan; Aydın, Merve Nilay; Çoban, Ramazan (Wiley, 2018)In this paper, the model of an electromechanical system, which is a system of linear differential equations, is studied. Haar wavelet collocation method (HWCM) is applied for finding the approximate solution of the model. ... -
A numerical method for solution of integro-differential equations of fractional order
Alkan, Sertan (Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017)In this study, sinc-collocation method is introduced for solving Volterra integro-differential equations of fractional order. Fractional derivative is described in the Caputo sense often used in fractional calculus. Obtained ... -
A numerical method for solving a class of systems of nonlinear Pantograph differential equations
Çakmak, Musa; Alkan, Sertan (Elsevier, 2022)In this paper, Fibonacci collocation method is firstly used for approximately solving a class of systems of nonlinear Pantograph differential equations with initial conditions. The problem is firstly reduced into a nonlinear ... -
A solution method for integro-differential equations of conformable fractional derivative
Bayram, Mustafa; Hatipoğlu, Veysel Fuat; Alkan, Sertan; Daş, Sebahat Ebru (Vinca Inst Nuclear Scı, 2018)The aim of this work is to determine an approximate solution of a fractional order Volterra-Fredholm integro-differential equation using by the Sinc-collocation method. Conformable derivative is considered for the fractional ...
