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 作者：Veysel Fuat Hatipoglu , Sertan Alkan , Aydin Secer 来源：[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1), pp.1-13Springer 摘要：Abstract(#br)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 of the proposed method to the system of ...
 作者：Sertan Alkan , Mehmet Ali Akinlar 来源：[J].Boundary Value Problems(IF 0.922), 2013, Vol.2013 (1), pp.1-14Springer 摘要：Abstract(#br)In this paper we present an approximate solution of a fractional order two-point boundary value problem (FBVP). We use the sinc-Galerkin method that has almost not been employed for the fractional order differential equations. We expand the solution function in a fin...
 作者：Sertan Alkan , Aydin Secer , Abdon Atangana 来源：[J].Mathematical Problems in Engineering(IF 1.383), 2015, Vol.2015Hindawi 摘要：We employ the sinc-Galerkin method to obtain approximate solutions of space-fractional order partial differential equations (FPDEs) with variable coefficients. The fractional derivatives are used in the Caputo sense. The method is applied to three different problems and the obtai...
 作者：Sertan Alkan , Piyas Chowdhury ... 来源：[J].International Journal of Fatigue(IF 1.976), 2016, Vol.84, pp.28-39Elsevier 摘要：Abstract(#br)The study of near-threshold fatigue crack growth has long remained an empirical field due principally to the highly microstructure-sensitive nature thereof. The primary challenges have been to forward physical model(s) informed by the governing micromechanism(s)...
 作者：Sertan Alkan , Merve Nilay Aydin , Ramazan Coban 来源：[J].Mathematical Methods in the Applied Sciences(IF 0.778), 2019, Vol.42 (16), pp.5266-5273Wiley 摘要：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. HWCM reduces the system of the model into a matrix‐ve...
 作者：... Veysel Fuat Hatipoglu , Sertan Alkan , Sebahat Ebru Das 来源：[J].Thermal Science(IF 0.838), 2018, Vol.22 (Supplement), pp.S7-S14塞尔维亚热力工程师协会 摘要：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 derivatives. Some numerical examples having exact solut...
 作者：Sertan Alkan 来源：[J].Sakarya University Journal of Science, 2017, Vol.21 (2), pp.82-89DOAJ 摘要：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 results are given to literature as two new theorems. So...
 作者：Sertan Alkan 来源：[J].Natural and Engineering Sciences, 2017, Vol.2 (3), pp.37-44DOAJ 摘要：This paper investigates the Haar wavelet collocation method (HWCM) to obtain approximate solution of the linear Emden-Fowler type equations. To show the efficiency and accuracy of the proposed method, some problems are solved and the obtained solutions are compared with the appro...
 作者：Sertan Alkan , Veysel Fuat Hatipoglu 来源：[J].Tbilisi Mathematical Journal, 2017, Vol.10 (2), pp.1-13De Gruyter 摘要：Abstract In this study, sinc-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 literature as a new theorem. Some numerical exampl...
 作者：Sertan Alkan , Aydin Secer 来源：[J].Open Physics, 2015, (1)De Gruyter 摘要：Abstract In this paper, the sinc-Galerkin method is usedfor numerically solving a class of nonlinear differentialequations with boundary conditions. The importance ofthis study is that sinc approximation of the nonlinear termis stated as a new theorem. The method introduced here ...