Browsing by Author "Şişman, Şeyma"

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Analysis of Random Difference Equations Using the Differential Transformation Method

Şişman, Şeyma; Merdan, Mehmet (Hindawi Limited, 2024)

The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the ...
Ayrık zamanlı duyarlı diyabet komplikasyon modelinin deterministik ve rastgele analizi

Şişman, Şeyma (Gümüşhane Üniversitesi, 2020)

Bu çalışmada, diyabet hastalığının matematiksel modeli (DC) ele alınmaktadır. Bu modelde (D) insanları komplike olmayan, (C) ise karmaşık diyabetliler olmak üzere ikiye ayırmaktadır. Bunun yanı sıra diyabet, genetik ve ...
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 ...
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. ...