Yazar "Yavuz, Mehmet" için listeleme
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Analysis of an epidemic spreading model with exponential decay law
Yavuz, Mehmet; Özdemir, Necati (Murat Tosun, 2020)Mathematical modeling of infectious diseases has shown that combinations of isolation, quarantine,vaccine, and treatment are often necessary in order to eliminate most infectious diseases. Continuousmathematical models ... -
Analysis of novel fractional order plastic waste model and its effects on air pollution with treatment mechanism
Joshi, Hardik; Yavuz, Mehmet; Özdemir, Necati (Journal of Applied Analysis and Computation, 2024)In the present era, the plastic waste problem is a global challenge due to its massive production. The post-use of waste plastic influences the earth's environment, human life, marine life, and ocean. Thus there is a ... -
Comparing the new fractional derivative operators involving exponential and Mittag-leffler kernel
Yavuz, Mehmet; Özdemir, Necati (Amer Inst Mathematical Sciences-AIMS, 2020)In this manuscript, we have proposed a comparison based on newly defined fractional derivative operators which are called as Caputo-Fabrizio (CF) and Atangana-Baleanu (AB). In 2015, Caputo and Fabrizio established a new ... -
A different approach to the european option pricing model with new fractional operator
Yavuz, Mehmet; Özdemir, Necati (Edp Sciences S A, 2018)In this work, we have derived an approximate solution of the fractional Black-Scholes models using an iterative method. The fractional differentiation operator used in this paper is the well-known conformable derivative. ... -
European vanilla option pricing model of fractional order without singular kernel
Yavuz, Mehmet; Özdemir, Necati (MDPI, 2018)Recently, fractional differential equations (FDEs) have attracted much more attention in modeling real-life problems. Since most FDEs do not have exact solutions, numerical solution methods are used commonly. Therefore, ... -
Kesirli Black-Scholes opsiyon fiyatlama denklemlerinin yaklaşık analitik çözümleri
Yavuz, Mehmet (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2016)Bu tezde zaman-kesirli mertebeden kısmi Black-Scholes opsiyon fiyatlama denklemlerinin yaklaşık analitik çözümleri ele alınmıştır. Kesirli kısmi diferansiyel denklemlerin çözüm yöntemlerinden olan Adomian Ayrıştırma Yöntemi ... -
New numerical techniques for solving fractional partial differential equations in conformable sense
Yavuz, Mehmet; Özdemir, Necati (Springer, 2019)This study adresses two new numerical techniques for solving some interesting one-dimensional time-fractional partial differential equations (PDEs). We have introduced modified homotopy perturbation method in conformable ... -
Numerical inverse laplace homotopy technique for fractional heat equations
Yavuz, Mehmet; Özdemir, Necati (Vinca Inst Nuclear Sci, 2018)In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving some interesting 1-D time fractional heat equations. This method is based on the Laplace homotopy perturbation method, which is ... -
Numerical solution of fractional black-scholes equation by using the multivariate pade approximation
Özdemir, Necati; Yavuz, Mehmet (Polish Acad Sciences Inst Physics, 2017)In this study, a new application of multivariate Pade approximation method has been used for solving European vanilla call option pricing problem. Pade polynomials have occurred for the fractional Black-Scholes equation, ... -
Numerical solutions and synchronization of a variable-order fractional chaotic system
Hammouch, Zakia; Yavuz, Mehmet; Özdemir, Necati (Mehmet Yavuz, 2021)In the present paper, we implement a novel numerical method for solving differential equations with fractional variableorder in the Caputo sense to research the dynamics of a circulant Halvorsen system. Control laws are ... -
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 ... -
Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel
Yavuz, Mehmet; Özdemir, Necati; Baskonuş, Hacı Mehmet (Springer Heidelberg, 2018)In this paper, time-fractional partial differential equations (FPDEs) involving singular and nonsingular kernel are considered. We have obtained the approximate analytical solution for linear and nonlinear FPDEs using the ... -
Yapay sinir ağları ile portföy optimizasyonu
Yavuz, Mehmet (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2012)Yapay zeka tekniklerinden biri olan yapay sinir ağları (YSA), finansal piyasalarda son yıllarda öngörü (tahmin) ve optimizasyon problemlerinde sıkça kullanılmaktadır. YSA, özellikle doğrusal olmayan sistemlerde, öngörüsel ...
