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Mehmet Merdan Prof. Dr. GUMUSHANE UNIVERSITY, GUMUSHANE FACULTY OF ENGINEERING, MATHEMATICAL ENGINEERING PR.
Publication 18 Review 4 CrossRef Cited 19 TR Dizin Cited 3
18 Publication
4 Review
19 CrossRef Cited
3 TR Dizin Cited
0000-0002-8509-3044

Research Fields

Ordinary Differential Equations, Difference Equations and Dynamical Systems Applied Mathematics Partial Differential Equations Stochastic (Probability ) Process

Institution

GUMUSHANE UNIVERSITY, GUMUSHANE FACULTY OF ENGINEERING, MATHEMATICAL ENGINEERING PR.

Popular Publications

The Solutions of Caputo-Fabrizio Random Fractional Ordinary Differential Equations by Aboodh Transform Method
Authors: Yasin Şahin , Mehmet Merdan
Published: 2025 , Erzincan University Journal of Science and Technology
DOI: 10.18185/erzifbed.1543499
CITED 1 FAVORITE 1 TOTAL DOWNLOAD COUNT 482

1

1

482

Publications

SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS WITH RANDOM VARIABLE COEFFICIENTS BY FOURIER TRANSFORM METHOD
Authors: Hatice Ezber , Mehmet Merdan
Published: 2026 , Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
DOI: 10.18038/estubtda.1785373
FAVORITE 0 TOTAL DOWNLOAD COUNT 32

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32

Using the Laplace Transform Technique to Solve Hilfer Fractional Partial Differential Equations
Authors: Mehmet Merdan , Şeyma Şişman
Published: 2026 , Journal of Mathematical Sciences and Modelling
DOI: 10.33187/jmsm.1699169
FAVORITE 0 TOTAL DOWNLOAD COUNT 58

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58

Analysis of Diabetes Complications Model With Time Delays
Authors: Mehmet Merdan , Şeyma Şişman
Published: 2025 , Cumhuriyet Science Journal
DOI: 10.17776/csj.1666665
FAVORITE 0 TOTAL DOWNLOAD COUNT 122

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122

Investigation of nonstandard finite difference for fractional order Covid-19 model
Authors: Mehmet Merdan , Pınar Açıkgöz
Published: 2025 , Gazi University Journal of Science
DOI: 10.35378/gujs.1456440
FAVORITE 0 TOTAL DOWNLOAD COUNT 309

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309

The Solutions of Caputo-Fabrizio Random Fractional Ordinary Differential Equations by Aboodh Transform Method
Authors: Yasin Şahin , Mehmet Merdan
Published: 2025 , Erzincan University Journal of Science and Technology
DOI: 10.18185/erzifbed.1543499
FAVORITE 1 TOTAL DOWNLOAD COUNT 482

1

482

On solutions of time fractional order random HIV/AIDS modelling
Authors: Mehmet Merdan , Selami Öktem
Published: 2024 , Sigma Journal of Engineering and Natural Sciences
DOI: -
FAVORITE 0 TOTAL DOWNLOAD COUNT 206

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206

Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations
Authors: Mehmet Merdan , Merve Merdan , Rıdvan Şahin
Published: 2024 , Cumhuriyet Science Journal
DOI: 10.17776/csj.1256101
FAVORITE 0 TOTAL DOWNLOAD COUNT 565

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565

Analysis of fractional random ordinary differential equations by Adomian Decomposition Method
Authors: Mehmet Merdan , Nihal Atasoy
Published: 2024 , Journal of Balıkesir University Institute of Science and Technology
DOI: 10.25092/baunfbed.1260710
FAVORITE 0 TOTAL DOWNLOAD COUNT 619

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619

On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method
Authors: Mehmet Merdan , Nihal Atasoy
Published: 2023 , Cumhuriyet Science Journal
DOI: 10.17776/csj.1120077
FAVORITE 0 TOTAL DOWNLOAD COUNT 917

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917

A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment
Authors: Mehmet Merdan , Şeyma Şişman
Published: 2022 , Cumhuriyet Science Journal
DOI: 10.17776/csj.1127855
FAVORITE 0 TOTAL DOWNLOAD COUNT 1105

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1105

Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components
Authors: Tülay Kesemen , Mehmet Merdan , Zafer Bekiryazıcı
Published: 2020 , Journal of the Institute of Science and Technology
DOI: 10.21597/jist.658471
FAVORITE 0 TOTAL DOWNLOAD COUNT 749

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749

Investigation of the Behaviour of Volterra Integral Equations with Random Effects
Authors: Mehmet Merdan , Özge Altay, Zafer Bekiryazıcı
Published: 2020 , Gümüşhane University Journal of Science and Technology
DOI: 10.17714/gumusfenbil.586796
FAVORITE 0 TOTAL DOWNLOAD COUNT 1126

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1126

Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method
Authors: Pınar Oral, Mehmet Merdan , Zafer Bekiryazıcı
Published: 2019 , Cumhuriyet Science Journal
DOI: 10.17776/csj.460984
FAVORITE 0 TOTAL DOWNLOAD COUNT 1805

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1805

Bazı Rastgele Kısmi Diferansiyel Denklemlerin Diferansiyel Dönüşüm Metodu ve Laplace- Padé Metodu Kullanarak Çözümü
Authors: Halil Anaç , Mehmet Merdan , Zafer Bekiryazıcı , Tülay Kesemen
Published: 2019 , Gümüşhane University Journal of Science and Technology
DOI: 10.17714/gumusfenbil.404332
FAVORITE 0 TOTAL DOWNLOAD COUNT 1873

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1873

Mathematical Modeling of Biochemical Reactions Under Random Effects
Authors: Zafer Bekiryazıcı , Mehmet Merdan , Tülay Kesemen , Tahir Khaniyev
Published: 2016 , Turkish Journal of Mathematics and Computer Science
DOI: -
FAVORITE 0 TOTAL DOWNLOAD COUNT 2080

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2080

On The Solutions of Nonlinear Fractional Klein-Gordon Equation by Means of Local Fractional Derivative Operators
Authors: Mehmet Merdan , Pınar Oral
Published: 2016 , Turkish Journal of Mathematics and Computer Science
DOI: -
FAVORITE 0 TOTAL DOWNLOAD COUNT 1545

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1545

Mathematical Modeling of Dengue Disease under Random Effects
Authors: Zafer Bekiryazici , Mehmet Merdan , Tülay Kesemen , Mohammed Najmuldeen
Published: 2016 , Mathematical Sciences and Applications E-Notes
DOI: 10.36753/mathenot.421458
FAVORITE 0 TOTAL DOWNLOAD COUNT 765

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765

On Solving Coullet System by Differential Transformation Method
Authors: Mehmet Merdan , Ahmet Gökdoğan, Vedat Suat Ertürk
Published: 2011 , Cankaya University Journal of Science and Engineering
DOI: -
FAVORITE 0 TOTAL DOWNLOAD COUNT 3414

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3414

Articles published in
Cankaya University Journal of Science and Engineering
Cankaya University Journal of Science and Engineering
Cumhuriyet Science Journal
Cumhuriyet Science Journal
Erzincan University Journal of Science and Technology
Erzincan University Journal of Science and Technology
Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
Gazi University Journal of Science
Gazi University Journal of Science
Gümüşhane University Journal of Science and Technology
Gümüşhane University Journal of Science and Technology
Journal of Balıkesir University Institute of Science and Technology
Journal of Balıkesir University Institute of Science and Technology
Journal of Mathematical Sciences and Modelling
Journal of Mathematical Sciences and Modelling
Journal of the Institute of Science and Technology
Journal of the Institute of Science and Technology
Mathematical Sciences and Applications E-Notes
Mathematical Sciences and Applications E-Notes
Sigma Journal of Engineering and Natural Sciences
Sigma Journal of Engineering and Natural Sciences
Turkish Journal of Mathematics and Computer Science
Turkish Journal of Mathematics and Computer Science
Editorship
Gümüşhane University Journal of Science and Technology
Gümüşhane University Journal of Science and Technology
Section Editor
Editorial Board Memberships
Gümüşhane University Journal of Science and Technology
Gümüşhane University Journal of Science and Technology

Reviews

Adıyaman University Journal of Science
Adıyaman University Journal of Science
Gazi University Journal of Science
Gazi University Journal of Science
Gümüşhane University Journal of Science and Technology
Gümüşhane University Journal of Science and Technology
Turkish Journal of Mathematics and Computer Science
Turkish Journal of Mathematics and Computer Science

Publications

The Solutions of Caputo-Fabrizio Random Fractional Ordinary Differential Equations by Aboodh Transform Method
Authors: Yasin Şahin , Mehmet Merdan
Published: 2025 , Erzincan University Journal of Science and Technology
DOI: 10.18185/erzifbed.1543499
CITED 1 FAVORITE 1 TOTAL DOWNLOAD COUNT 482

1

1

482

On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method
Authors: Mehmet Merdan , Nihal Atasoy
Published: 2023 , Cumhuriyet Science Journal
DOI: 10.17776/csj.1120077
CITED 1 FAVORITE 0 TOTAL DOWNLOAD COUNT 917

1

0

917

A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment
Authors: Mehmet Merdan , Şeyma Şişman
Published: 2022 , Cumhuriyet Science Journal
DOI: 10.17776/csj.1127855
CITED 1 FAVORITE 0 TOTAL DOWNLOAD COUNT 1105

1

0

1105

Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components
Authors: Tülay Kesemen , Mehmet Merdan , Zafer Bekiryazıcı
Published: 2020 , Journal of the Institute of Science and Technology
DOI: 10.21597/jist.658471
CITED 1 FAVORITE 0 TOTAL DOWNLOAD COUNT 749

1

0

749

Investigation of the Behaviour of Volterra Integral Equations with Random Effects
Authors: Mehmet Merdan , Özge Altay, Zafer Bekiryazıcı
Published: 2020 , Gümüşhane University Journal of Science and Technology
DOI: 10.17714/gumusfenbil.586796
CITED 4 FAVORITE 0 TOTAL DOWNLOAD COUNT 1126

4

0

1126

Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method
Authors: Pınar Oral, Mehmet Merdan , Zafer Bekiryazıcı
Published: 2019 , Cumhuriyet Science Journal
DOI: 10.17776/csj.460984
CITED 1 FAVORITE 0 TOTAL DOWNLOAD COUNT 1805

1

0

1805

Bazı Rastgele Kısmi Diferansiyel Denklemlerin Diferansiyel Dönüşüm Metodu ve Laplace- Padé Metodu Kullanarak Çözümü
Authors: Halil Anaç , Mehmet Merdan , Zafer Bekiryazıcı , Tülay Kesemen
Published: 2019 , Gümüşhane University Journal of Science and Technology
DOI: 10.17714/gumusfenbil.404332
CITED 7 FAVORITE 0 TOTAL DOWNLOAD COUNT 1873

7

0

1873

Mathematical Modeling of Dengue Disease under Random Effects
Authors: Zafer Bekiryazici , Mehmet Merdan , Tülay Kesemen , Mohammed Najmuldeen
Published: 2016 , Mathematical Sciences and Applications E-Notes
DOI: 10.36753/mathenot.421458
CITED 3 FAVORITE 0 TOTAL DOWNLOAD COUNT 765

3

0

765

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