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International Journal of Engineering Technologies (IJET) Vol. 5, Issue 2, June 2019
Bayram, Mustafa (İstanbul Gelişim Üniversitesi Yayınları / Istanbul Gelisim University Press, 2019)Dear Colleagues, On behalf of the editorial board of International Journal of Engineering Technologies (IJET), I would like to share our happiness to publish the 18th issue of IJET. My special thanks are for members of ... -
Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
Hosseini, Kamyar; İnç, Mustafa; Shafiee, Mahmoud; Ilie, Mousa; Shafaroody, A.; Yusuf, Abdelrhman; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2020)The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific ... -
Legendre Wavelet Operational Matrix Method for Solving Fractional Differential Equations in Some Special Conditions
Seçer, Aydın; Altun, Selvi; Bayram, Mustafa (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)This paper proposes a new technique which rests upon Legendre wavelets for solving linear and non-linear forms of fractional order initial and boundary value problems. In some particular circumstances, a new operational ... -
Modeling and Resource Scheduling of Real-Time Unsplittable Data Transfers
Atanak, Mustafa Mujdat; Dogan, Atakan; Bayram, Mustafa (Natural Sciences Publishing (NSP), 2015-03-01)Real-time communication where the timely delivery of the data transfer requests needs to be guaranteed is essential for several applications. This work formally introduces the Real-Time Unsplittable Data Dissemination ... -
A new collocation method based on Euler polynomials for solution of generalized pantograph equations
İbiş, Birol; Bayram, Mustafa (BISKA Bilişim Teknoloji, 2016-12-23)In this paper, a new collocation method based on Euler polynomials is improved for the numerical solution of generalized pantograph equations. This method transforms the generalized pantograph equations into the matrix ... -
New optical solitons for Biswas-Arshed equation with higher order dispersions and full nonlinearity
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa; Hashemi, Mir Sajjad (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2020)In this paper, the extended Jacobi's elliptic function approach is used to solve the Biswas–Arshed equation in two different types. This method reveals several optical solitons including traveling wave solutions. The ... -
New Soliton Solutions of the Fractional Regularized Long Wave Burger Equation by Means of Conformable Derivative
Körpınar, Zeliha; Tchier, Fairouz; İnç, Mustafa; Ragoub, Lakhdar; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2019)In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative. Firstly, this fractional ... -
New Solutions of the Fractional Boussinesq-like Equations by Means of Conformable Derivatives
Körpınar, Zeliha; Tchier, Fairouz; İnç, Mustafa; Ragoub, Lakhdar; Bayram, Mustafa (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2019)In this paper, the process of the extended direct algebraic method (EDAM) is used to solve two fractional Boussinesq-like equations by means of conformable derivatives. Firstly, these fractional equations are changed into ... -
Numerical methods for simulation of stochastic differential equations
Bayram, Mustafa; Partal, Tuğçem; Orucova Büyüköz, Gülşen (Advances in Difference Equations, 2018-01-15)In this paper we are concerned with numerical methods to solve stochastic differential equations (SDEs), namely the Euler-Maruyama (EM) and Milstein methods. These methods are based on the truncated Ito-Taylor expansion. ... -
Numerical Solution of Fractional Benney Equation
Akınlar, Mehmet Ali; Seçer, Aydın; Bayram, Mustafa (Natural Sciences Publishing (NSP), 2014-07-01)In this paper we propose a new solution technique for numerical solution of fractional Benney equation, a fourth degree nonlinear fractional partial differential equation with broad range of applications. The method could ... -
Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials
İbiş, Birol; Bayram, Mustafa (BISKA Bilişim Teknoloji, 2016-12-20)In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the neutral functional-differential equations (NFDEs) with proportional delays. By using Hermite polynomials and ... -
On Discrete Fractional Solutions of Non-Fuchsian Differential Equations
Yılmazer, Reşat; Inc, Mustafa; Bayram, Mustafa (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator ∇η (0 < η < 1). This operator is applied to homogeneous and ... -
On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
Hashemi, Mir Sajjad; İnç, Mustafa; Parto-Haghighi, Mohammad; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the related variable u(x, t) ... -
On the investigation of optical soliton solutions of cubic-quartic Fokas-Lenells and Schrodinger-Hirota equations
Özışık, Müslüm; Önder, İsmail; Esen, Handenur; Çınar, Melih; Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2023)Purpose: When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation is one of the main models developed outside the classical NLSE management models for optical soliton transmission. The cubic–quartic ... -
On the numerical solution of differential-algebraic equations (DAEs) by Laguerre Polynomials approximation
Bayram, Mustafa (BISKA Bilişim Teknoloji, 2016-12-01)In this study, we investigate numerical solution of differential-algebraic equations (DAEs) using the Laguerre polynomials approximation. Two different problems are solved using the Laguerre polynomials approximation and ... -
On the Oscillation of Fractional Order Nonlinear Differential Equations
Bayram, Mustafa; Seçer, Aydın; Adıgüzel, Hakan (Sakarya Üniversitesi, 2017-10-16)In the article, we are concerned with the oscillatory solutions of a class of fractional differential equations. By using generalized Riccati function and Hardy inequalities, we present some oscillation criterias. As a ... -
Oscillation Properties of Solutions of Fractional Difference Equations
Bayram, Mustafa; Seçer, Aydın (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)In this article, studied the properties of the oscillation of fractional difference equations, and we obtain some results. The results we obtained are an expansion and further development of highly known results. Then we ... -
Oscillatory Behavior of Solutions of Differential Equations with Fractional Order
Bayram, Mustafa; Seçer, Aydın; Adıgüzel, Hakan (Natural Sciences Publishing (NSP), 2017-05-01)In this paper, we investigated a kind of fractional differential equations with damping term. Using generalized Riccati function, we present some oscillation criteria. Finally, some examples are given to illustrative the ... -
Parameter Estimation an a Black Scholes
Bayram, Mustafa; Orucova Büyüköz, Gülşen; Partal, Tuğçem (Vinča Institute of Nuclear Sciences, Belgrade, 2018-01-07)In this paper we discuss parameter estimation in black scholes model. A non-parametric estimation method and well known maximum likelihood estimator are considered. Our aim is to estimate the unknown parameters for stochastic ... -
Partial Fractional Equations and Their Applications
Atangana, Abdon; Jafari, Hossein; Belhaouari, Samir B.; Bayram, Mustafa (Hindawi Publishing Corporation, 2015-03-11)In the past years, many physical problems in almost all branches of sciences and engineering were with success modelled using the concept of fractional order derivative. This subject has therefore fascinated consideration ...