• 1 of 1 Analysis of a discrete time fractional-order Vallis system 

  Sisman, Seyma; Merdan, Mehmet (ELSEVIER, 2024)

  Vallis system is a model describing nonlinear interactions of the atmosphere and temperature fluctuations with a strong influence in the equatorial part of the Pacific Ocean. As the model approaches the fractional order ...

• MODELING DISEASE TRANSMISSION DYNAMICS WITH RANDOM DATA AND HEAVY TAILED RANDOM EFFECTS: THE ZIKA CASE 

  Bekiryazici, Zafer; Kesemen, Tülay; Merdan, Mehmet; Khaniyev, Tahir A. (Isik University, 2023)

  In this study, we investigate a compartmental model of Zika Virus transmission under random effects. Random effects enable the analysis of random numerical characteristics of transmission, which cannot be modeled through ...

• On the solution of random linear difference equations with Laplace transform method 

  Merdan, Mehmet; Şişman, Şeyma (John Wiley and Sons Ltd, 2023)

  In this study, Laplace transformation, which is very important for solutions to initial value problems, is examined. To solve the initial value problem of a discrete-time equation, Laplace implements the conversion method. ...

• New weyl-type inequalities by multiplicative injective and surjective s-numbers of operators in reflexive banach spaces 

  Cona, Lale (Adiyaman University, 2022)

  In this work, two problems are investigated. In general. Weyl-type inequalities of operators in complex reflexive Banach spaces are discussed. Fir st, w'e obtained the Weyl-type inequalities using arbitrary multiplicative ...

• Investigation of Behavior on Solutions of Lane-Emden Complex Differential Equations by a Random Differential Transformation Method 

  Merdan, Mehmet; Merdan, Merve; Şahin, Ridvan (Hindawi Limited, 2023)

  In this study, Lane-Emden complex differential equations have been randomized by selecting random variables for the coefficients, initial conditions, and force functions of complex differential equations. In addition, by ...

• On the solutions of fractional random ordinary differential equations with the Residual power series method 

  Merdan, Mehmet; Atasoy, Nihal (Elsevier B.V., 2023)

  In this study, random ordinary differential equations obtained by randomly choosing the coefficients or initial conditions of the ordinary differential equations will be analyzed by the Residual Power Series Method. The ...

• A MODIFICATION OF APPROXIMATE RANDOM CHARACTERISTICS FOR A MODEL OF ZIKA VIRUS TRANSMISSION 

  Bekiryazici, Zafer; Kesemen, Tulay; Merdan, Mehmet; Khaniyev, Tahir (Serbian Society of Heat Transfer Engineers, 2022)

  In this study, a theoretical model of Zika virus transmission is investigated with random parameters. The parameters of a deterministic model are transformed to random variables to obtain a system of random differential ...

• Transmission of Cholera Disease with Laplacian and Triangular Parameters 

  Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Iranian Academic Center for Education, Culture and Research, 2022)

  A mathematical model has been introduced for the transmission dynamics of cholera disease by GQ Sun et al. recently. In this study, we add Laplacian and Triangular random effects to this model and analyze the variation of ...

• On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem 

  Ashyralyyev, Charyyar (SPRINGER HEIDELBERG, 2022)

  In this study, a source identification problem for elliptic differential equation with integral type non-local condition is discussed. The second order of accuracy difference scheme for elliptic non-local source identification ...

• ON SOLUTION OF BG-VOLTERRA INTEGRAL EQUATIONS 

  Nihan, Güngör (Işık Üniversitesi, 2023)

  In this study, we center upon obtaining the solution of linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The method of successive substitutions and resolvent kernel ...

• DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL 

  Merdan, Mehmet; Şişman, Şeyma (EDITURA ACAD ROMANE, 2022)

  In this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the ...

• Neutrosophic QUALIFLEX based on neutrosophic hesitancy index for selecting a potential antivirus mask supplier over COVID-19 pandemic. 

  Şahin, Rıdvan (SPRINGER, 2022)

  In order to handle simultaneously the cardinal and ordinal information in decision-making process, QUALIFLEX (QUALItative FLEXible multiple criteria method) is a very well-known decision-making approach. In this work, we ...

• On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition 

  ASHYRALYYEV, CHARYYAR (PLEIADES PUBLISHING INC, 2022)

  In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Holder spaces is established. Numerical ...

• Numerical Solution of Time-Nonlocal Problem for Parabolic Equation 

  Ashyralyyev, Charyyar; Ashyralyev, Allaberen (American Institute of Physics Inc., 2022)

  In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. ...

• Solutions of multiplicative ?ntegral equations via the multiplicative power series method 

  Bal, Arzu; Yalcin, Numan; Dedeturk, Mutlu (GAZI UNIV, 2022)

  In this study, definitions of types of multiplicative integral equations are given. And solutions of different types of multiplicative integral equations are investigated using the multiplicative power series method. These ...

• On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem 

  Ashyralyyev, Charyyar; Akyuz, G. (KARAGANDA STATE UNIV, 2021)

  In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference ...

• On Stable Difference Scheme for Identification Elliptic Problem with Integral and Second Kind Boundary Condition 

  Ashyralyyev, Charyyar (Amer Inst Physics, 2021)

  In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability ...

• International Conference on Analysis and Applied Mathematics (ICAAM 2020) 

  [Belirlenecek] (AIP Publishing, 2021-02-09)

  The main objective of ICAAM is to promote and inspire new developments in mathematics and mathematical applications. For reaching our goal, we provide a forum for researchers and scientists who are working in the fields ...

• Preface: Fifth International Conference on Analysis and Applied Mathematics (ICAAM 2020) 

  Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Erdogan, Abdullah; Lukashov, Alexey; Sadybekov, Mahmud (AIP Publishing, 2021-02-09)

  The main objective of ICAAM is to promote and inspire new developments in mathematics and mathematical applications. For reaching our goal, we provide a forum for researchers and scientists who are working in the fields ...

• On Well-posedness of Source Identification Elliptic Problem with Nonlocal Boundary Conditions 

  Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Zvyagin, Viktor G. (Amer Inst Physics, 2021)

  We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution ...

View more