Yazar "Bayram, Mustafa" için Web of Science ve Scopus Atıf Dizinlerindeki Yayınlar listeleme
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An algorithm for numerical solution of some nonlinear multi-dimensional parabolic partial differential equations
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2021)In this research paper, a numerical method, named the three-step Ultraspherical wavelet collocation method, is presented for solving some nonlinear multi-dimensional parabolic partial differential equations. The method is ... -
An approximate solution of fractional cable equation by homotopy analysis method
İnç, Mustafa; Cavlak, Ebru; Bayram, Mustafa (SpringerOpen, 2014-03-16)In this article, the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the Riemann-Liouville fractional partial derivative. This method includes an auxiliary parameter h which provides a ... -
Approximates Method for Solving an Elasticity Problem of Settled of the Elastic Ground with Variable Coefficients
Bayram, Mustafa; Yıldırım, Kenan (Natural Sciences Publishing (NSP), 2013-07-01)In this paper, we have given numerical solutions of the elasticity problem of settled on the elastic ground with variable coefficient. Firstly, we calculate the generalized successive approximation of the given boundary ... -
Bright soliton of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law of self-phase modulation in the presence of spatiotemporal dispersion
Özdemir, Neslihan; Altun, Selvi; Seçer, Aydın; Özışık, Müslüm; Bayram, Mustafa (SPRINGER HEIDELBERGTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2024)For the first time, we intend to scrutinize both the bright optical soliton solutions of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law having the spatiotemporal dispersion and the influences of ... -
The Common Solution for a Generalized Equilibrium Problem, A Variational Inequality Problem and A Hierarchical Fixed Point Problem
Karahan, İbrahim; Seçer, Aydın; Özdemir, Murat; Bayram, Mustafa (SpringerOpen, 2015-02-12)The present paper aims to deal with a new iterative method to find a common solution of a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for a sequence of nearly ... -
Convexity of Certain q Integral Operators of p Valent Functions
Selvakumaran, K. A.; Purohit, Sunil Dutt; Seçer, Aydın; Bayram, Mustafa (Hindawi Publishing Corporation, 2014-05-12)By applying the concept (and theory) of fractional -calculus, we first define and introduce two new -integral operators for certain analytic functions defined in the unit disc . Convexity properties of these -integral ... -
Dark-Bright Optical Soliton and Conserved Vectors to the Biswas-Arshed Equation With Third-Order Dispersions in the Absence of Self-Phase Modulation
Aliyu, Aliyu Ise; İnç, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru; Bayram, Mustafa (FRONTIERS MEDIA SA, AVENUE DU TRIBUNAL FEDERAL 34, LAUSANNE, CH-1015, SWITZERLAND, 2019)The form-I version of the new celebrated Biswas-Arshed equation is studied in this work with the aid of complex envelope ansatz method. The equation is considered when self-phase is absent and velocity dispersion is ... -
Extraction of soliton waves from the longitudinal wave equation with local M‑truncated derivatives
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (SPRINGERVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2023)We have extracted some soliton solutions of the fractional longitudinal wave equation with the M-truncated derivative (M-LWE), which emerges in a magneto electro-elastic circular rod. To obtain new results of this model, ... -
The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers' Equations with Time-Fractional Derivative
Özdemir, Neslihan; Seçer, Aydın; Bayram, Mustafa (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers' equations with a time-fractional derivative. In the presented methods, we combined the operational ... -
A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
Seçer, Aydın; Özdemir, Neslihan; Bayram, Mustafa (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018)In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ... -
Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers
Dalman, Hasan; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective ... -
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 ... -
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 ... -
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 ...