Search Results - MERDAN, Mehmet

Relation: Mathematical Methods in the Applied Sciences; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Şeyma Şişman, Mehmet Merdan First published: 02 August 2023 https://doi.org/10.1002/mma.9556 Communicated by: S. Georgiev; https://hdl.handle.net/20.500.12440/6006

Availability: https://doi.org/20.500.12440/6006
https://doi.org/10.1002/mma.9556
https://hdl.handle.net/20.500.12440/6006

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4

Academic Journal

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

Authors: Merdan, Mehmet, Merdan, Merve, Şahin, Ridvan

Contributors: Merdan, Mehmet, Rıdvan, Şahin

Subject Terms: Probability distributions, Approximate solution, Beta distributions, Differential transformation, Expected values, Gamma distribution, Initial conditions, Initial forces, Random differential equations, Solution methods, Transformation methods

Relation: Complexity; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://www.hindawi.com/journals/complexity/2023/3713454/; https://hdl.handle.net/20.500.12440/5908

Availability: https://doi.org/20.500.12440/5908
https://doi.org/10.1155/2023/3713454
https://hdl.handle.net/20.500.12440/5908
https://www.hindawi.com/journals/complexity/2023/3713454/

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5

Academic Journal

Modeling disease transmission dynamics with random data and heavy tailed random effects: the Zika case

Authors: Bekiryazıcı, Zafer, Kesemen, Tülay, Merdan, Mehmet, Khaniyev,Tahir

Subject Terms: Zika Virus, Pareto distribution, Random differential equation, Random effect, Simulation

File Description: application/pdf

Relation: TWMS Journal Of Applied And Engineering Mathematics; Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı; Scopus; Emerging Sources Citation Index (ESCI); Bekiryazıcı, Z., Kesemen, T., Merdan, M. & Khaniyev,T. (2023). Modeling disease transmission dynamics with random data and heavy tailed random effects: the Zika case. TWMS Journal Of Applied And Engineering Mathematics, 13(4), 1272-1286.; https://hdl.handle.net/11729/5710; http://jaem.isikun.edu.tr/web/index.php/current/122-vol13no4/1113; 13; 1272; 1286

Availability: https://hdl.handle.net/11729/5710
http://jaem.isikun.edu.tr/web/index.php/current/122-vol13no4/1113

6

Academic Journal

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

Authors: Şişman, Şeyma, Merdan, Mehmet

Superior Title: Mathematical Methods in the Applied Sciences ; volume 46, issue 17, page 18258-18273 ; ISSN 0170-4214 1099-1476

Subject Terms: General Engineering, General Mathematics

Availability: https://doi.org/10.1002/mma.9556

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7

Academic Journal

Transmission of Cholera Disease with Laplacian and Triangular Parameters

Authors: Merdan, Mehmet, Bekiryazici, Zafer, Kesemen, Tulay, Khaniyev, Tahir

Contributors: Merdan, Mehmet

Subject Terms: Cholera, Laplace distribution, Random differential equation, Simulation, Triangular distribution

Relation: Iranian Journal of Mathematical Sciences and Informatics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://www.scopus.com/record/display.uri?eid=2-s2.0-85138924137&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=df691889722a73dd7ecd4a61ef92aa3b; https://hdl.handle.net/20.500.12440/5834; 17; 289; 305

Availability: https://doi.org/20.500.12440/5834
https://doi.org/10.52547/ijmsi.17.2.289
https://hdl.handle.net/20.500.12440/5834
https://www.scopus.com/record/display.uri?eid=2-s2.0-85138924137&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=df691889722a73dd7ecd4a61ef92aa3b

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8

Academic Journal

DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL

Authors: Merdan, Mehmet, Şişman, Şeyma

Contributors: Merdan, Mehmet

Subject Terms: host, parasite model, Neimark-Sacker bifurcation, discrete dynamical system

Relation: PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Şişman, Ş., & Merdan, M. (2022). DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL. Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science, 23(2), 123-132. Retrieved from www.scopus.com; https://acad.ro/sectii2002/proceedings/doc2022-2/04-Merdan.pdf; https://hdl.handle.net/20.500.12440/5815; 23; 123; 132

Availability: https://doi.org/20.500.12440/5815
https://hdl.handle.net/20.500.12440/5815
https://acad.ro/sectii2002/proceedings/doc2022-2/04-Merdan.pdf

9

Academic Journal

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

Authors: Bekiryazici, Zafer, Kesemen, Tulay, Merdan, Mehmet, Khaniyev, Tahir

Contributors: Merdan, Mehmet

Subject Terms: Differential transformation method, Random differential equations, Random effect, Zika virus

Relation: Thermal Science; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://hdl.handle.net/20.500.12440/5849; 26; 3067; 3077

Availability: https://doi.org/20.500.12440/5849
https://doi.org/10.2298/TSCI2204067B
https://hdl.handle.net/20.500.12440/5849

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10

Academic Journal

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

Authors: Merdan, Mehmet, Bekiryazici, Zafer, Khaniyev, Tahir, Kesemen, Tulay

Subject Terms: random differential equations, random effect, Zika virus, differential transformation method, Differential Transform Method

Relation: Thermal Science; Makale - UluslararasÄ± Hakemli Dergi - Kurum Ã–ÄŸretim ElemanÄ±; https://doi.org/10.2298/TSCI2204067B; https://hdl.handle.net/20.500.11851/8862; 26; 3067; 3077; WOS:000833183200022; 2-s2.0-85135083288; Q1

Availability: https://doi.org/20.500.11851/886210.2298/TSCI2204067B
https://hdl.handle.net/20.500.11851/8862

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11

Academic Journal

A modification of approximate random characteristics for a model of Zika virus transmission

Authors: Bekiryazıcı, Zafer, Kesemen, Tülay, Merdan, Mehmet, Khaniyev, Tahir

Contributors: RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü, Bekiryazıcı, Zafer

Subject Terms: Random effect, Random differential equations, Zika virus, Differential transformation method

File Description: application/pdf

Relation: Thermal Science; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Bekiryazici, Z., Kesemen, T., Merdan, M. Khaniyev, T. (2022). A modification of approximate random characteristics for a model of Zika virus transmission. A modification of approximate random characteristics for a model of Zika virus transmission, 26(4), 3067-3077. https://doi.org/10.2298/TSCI2204067B; https://doi.org/10.2298/TSCI2204067B; https://hdl.handle.net/11436/6954; 26; 3067; 3077

Availability: https://doi.org/10.2298/TSCI2204067B
https://hdl.handle.net/11436/6954

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12

Academic Journal

Global stability of Susceptible Diabetes Complication (SDC) model in discrete time

Authors: Sisman, Seyma, Merdan, Mehmet

Subject Terms: Susceptible Diabetes Complication (SDC) model, Global stability, Equilibrium points

Relation: Sigma Journal of Engineering and Natural Sciences-Sigma Muhendislik Ve Fen Bilimleri Dergisi; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://doi.org/10.14744/sigma.2021.00018; https://hdl.handle.net/20.500.12440/3323; 39; 290; 312

Availability: https://doi.org/20.500.12440/3323
https://doi.org/10.14744/sigma.2021.00018
https://hdl.handle.net/20.500.12440/3323

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13

Academic Journal

WONG-ZAKAI METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN ENGINEERING

Authors: Sengul, Suleyman, Bekiryazici, Zafer, Merdan, Mehmet

Subject Terms: Wong-Zakai approximation, stochastic differential equation, Euler-Maruyama method, Milstein method, solar irradiance, Brownian motion

Relation: Thermal Science; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://doi.org/10.2298/TSCI200528014S; https://hdl.handle.net/20.500.12440/3696; 25; S131; S142

Availability: https://doi.org/20.500.12440/3696
https://doi.org/10.2298/TSCI200528014S
https://hdl.handle.net/20.500.12440/3696

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14

Academic Journal

Wong-Zakai approximation for stochastic models of smoking.

Authors: ŞENGÜL, Süleyman, BEKİRYAZICI, Zafer, MERDAN, Mehmet

Superior Title: Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi; Oct2023, Vol. 41 Issue 5, p958-968, 11p

Subject Terms: STOCHASTIC models, STOCHASTIC approximation, SMOKING

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15

Academic Journal

Wong-Zakai approximation for stochastic models of smoking

Authors: Sengul, Sueleyman, Bekiryazici, Zafer, Merdan, Mehmet

Contributors: Merdan, Mehmet

Subject Terms: Stochastic Differential Equation, Wong-Zakai Approximation, Euler-Maruyama Method, Stochastic Runge-Kutta Method

Relation: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Süleyman ŞENGÜL1 , Zafer BEKİRYAZICI1,* , Mehmet MERDAN 2 1 Department of Mathematics, Recep Tayyip Erdogan University, Rize, 53100, Türkiye 2 Department of Mathematical Engineering, Gumushane University, Gumushane, 29100, Türkiye; https://hdl.handle.net/20.500.12440/6089; 41; 958; 968

Availability: https://doi.org/20.500.12440/608910.14744/sigma.2023.00114
https://hdl.handle.net/20.500.12440/6089

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