Araştırma Çıktıları | Scopus İndeksli Yayınlar Koleksiyonu by İSTE Author "Alkan, Sertan"
Now showing items 1-6 of 6
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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 ... -
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 ... -
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 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 ...
