Yazar "Evirgen, Fırat" için listeleme
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Analyze the optimal solutions of optimization problems by means of fractional gradient based system using VIM
Evirgen, Fırat (2016)In this paper, a class of Nonlinear Programming problem is modeled with gradient basedsystem of fractional order differential equations in Caputo's sense. To see the overlap between theequilibrium point of the fractional ... -
Conformable fractional gradient based dynamic system for constrained optimization problem
Evirgen, Fırat (Polish Acad Sciences Inst Physics, 2017)A conformable fractional gradient based dynamic system with a steepest descent direction is proposed in this paper for a class of nonlinear programming problems. The solutions of the dynamic system, modelled with the ... -
Determination of heterogeneity for manganese dendrites using lacunarity analysis
Evirgen, Fırat; Bayırlı, Mehmet (2022)The surface patterns of natural and experimental deposits are important as they result from the internal microstructure. For this purpose, lacunarity analysis is applied to determine the heterogeneous nature of deposit ... -
A dynamic system approach for solving nonlinear programming problems with exact penalty function
Özdemir, Necati; Evirgen, Fırat (Vilnius Gediminas Technical Univ Press, 2008)The Dynamic system has attracted increasing attention in recent years. In this paper, a dynamic system approach for solving Nonlinear Programming (NLP) problems with inequality constrained is presented. First, the system ... -
A dynamic system approach to quadratic programming problems with penalty method
Özdemir, Necati; Evirgen, Fırat (Malaysian Mathematical Sciences Soc, 2010)In this work, we propose a dynamical system (state space) model approach to find a unique minimum of quadratic programming (QP) problem,;, with equality constrained. The unique minimum of the optimization problem is also ... -
Ekstremum problemleri için gradyant tabanlı yaklaşım
Çalık, Pervin (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2014)Optimizasyon verilen koşullar altında en iyi sonucun elde edilmesi işlemidir. Optimizasyonun temel bilimlerde ve mühendislik alanlarında birçok uygulaması mevcuttur. Bu uygulama alanlarındaki bir çok problemin çözümü çok ... -
Enhancing maize foliar disease management through fractional optimal control strategies
Evirgen, Fırat; Uçar, Sümeyra; Özdemir, Necati; Jajarmi, Amin (Amer Inst Mathematical Sciences-Aims, 2024)ct. Major yield losses in maize fields are being caused by a variety of foliar diseases. Early detection of these diseases can lower the possibility of extensive crop damage and assist farmers with setting up the ideal ... -
A fractional order dynamical trajectory approach for optimization problem with HPM
Evirgen, Fırat; Özdemir, Necati (Springer New York, 2012)In this paper, the homotopy perturbation method (HPM) is applied to solve nonlinear programming (NLP) problem on the basis of the fractional order differential equations system. The trajectory of the proposed fractional ... -
A fractional SAIDR model in the frame of Atangana-Baleanu derivative
Uçar, Esmehan; Uçar, Sümeyra; Evirgen, Fırat; Özdemir, Necati (MDPI, 2021)It is possible to produce mobile phone worms, which are computer viruses with the ability to command the running of cell phones by taking advantage of their flaws, to be transmitted from one device to the other with ... -
Homotopi pertübasyon sumudu dönüşüm metodu ve uygulamaları
Küçük, Semih (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2017)Bu tezde fen ve mühendislik alanlarında karşılaşılan çeşitli mertebelerden kısmi diferansiyel denklemlerin çözümleri Homotopi Pertürbasyon Sumudu dönüşüm metodu ile incelenmiş ve diğer sayısal yöntemler ile elde edilen ... -
The impact of nonsingular memory on the mathematical model of hepatitis c virus
Evirgen, Fırat; Uçar, Esmehan; Özdemir, Necati; Altun, Eren; Abdeljawad, Thabet (World Scientific, 2023)In this research, we examine the nonsingular memory effect when implementing the Atangana-Baleanu (AB) fractional derivative in the Caputo sense to the Hepatitis C virus (HCV) model. For this purpose, first, the sufficient ... -
Investigation of e-cigarette smoking model with mittag-leffler kernel
Uçar, Esmehan; Uçar, Sümeyra; Evirgen, Fırat; Özdemir, Necati (Walter De Gruyter GMBH, 2021)Smoking is the most lethal social poisoning event. The World HealthOrganization defines smoking as the most important preventable cause of disease.Around 4.9 million people worldwide die from smoking every year. ... -
Mathematical analysis and simulation of a giving up smoking model within the scope of non-singular derivative
Uçar, Sümeyra; Evirgen, Fırat; Özdemir, Necati; Hammouch, Zakia (Inst Mathematics & Mechanics, 2022)Smoking has caused the illness and death of many people around the world for a long time. Therefore, many researchers have investigated many methods to quit smoking and reduce its use. In this paper, a smoking model with ... -
Modelling influenza a disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates
The objective of this manuscript is to present a novel approach to modeling influenza A disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator into the model. Particularly distinct contact ... -
Modifiye edilmiş üstel açılım fonksiyon metodu ile bazı lineer olmayan kısmi diferansiyel denklemlerin soliton çözümlerinin analizi
Kaçar, Seda (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2023)Kısmi diferansiyel denklemler gerçek hayattaki birçok olayın modellenmesinde kullanılmaktadır. Bu sebeple kısmi diferansiyel denklemlerin çözümleri üzerine literatürde farklı çalışmalar yer almaktadır. Bu çalışmalar arasında ... -
Multistage adomian decomposition method for solving nlp problems over a nonlinear fractional dynamical system
Evirgen, Fırat; Özdemir, Necati (Asme-Amer Soc Mechanical Eng, 2011)This paper deals with implementation of the multistage Adomian decomposition method (MADM) to solve a class of nonlinear programming (NLP) problems, which are reformulated with a nonlinear system of fractional differential ... -
Optimizasyon problemlerine üstel ceza fonksiyonu ile dinamik sistem yaklaşımı
Aytimur, Hülya Bostan (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2012)En basit anlamı ile optimizasyon eldeki kısıtlı kaynakları optimum biçimde kullanmak olarak tanımlanabilir. Matematiksel olarak ifade etmek gerekirse optimizasyon, bir fonksiyonun minimize veya maksimize edilmesidir. ... -
Optimizasyon problemlerinin durum denklemleri ile optimum değerlerinin araştırılması
Evirgen, Fırat (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2009)Bu çalışmanın amacı optimizasyon problemlerinin optimum çözümlerinin araştırılmasında durum denklemleri yaklaşımının işlevselliğini göstermektir. Bu çalışma beş bölümden oluşmaktadır. Birinci bölümde, optimizasyon ... -
Real data-based optimal control strategies for assessing the impact of the Omicron variant on heart attacks
Evirgen, Fırat; Özköse, Fatma; Yavuz, Mehmet; Özdemir, Necati (Amer Inst Mathematical Sciences-AIMS, 2023)This paper presents an investigation into the relationship between heart attacks and the Omicron variant, employing a novel mathematical model. The model incorporates two adjustable control parameters to manage the number ... -
Solution of a class of optimization problems based on hyperbolic penalty dynamic framework
Evirgen, Fırat (Polish Acad Sciences Inst Physics, 2017)In this study, a gradient-based dynamic system is constructed in order to solve a certain class of optimization problems. For this purpose, the hyperbolic penalty function is used. Firstly, the constrained optimization ...