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M. Yavuz, M. Ozt¨urk, B. Ya¸skıran / IJOCTA, Vol.15, No.2, pp.281-293 (2025)

55. Yavuz M, Ya¸skıran B. Homotopy methods for 65. Utkin VI. Sliding mode control design principles
fractional linear/nonlinear differential equations and applications to electric drives. IEEE Trans
with a local derivative operator. Balıkesir Univ Ind Electron. 1993;40(1):23–36.
Fen Bilim Enst Derg. 2018;20(3):75–89. 66. Giap V, Vu H, Nguyen Q, Huang S-C. Chattering-
https://doi.org/10.25092/baunfbed.476608 Free Sliding Mode Control-Based Disturbance
56. Y´epez-Mart´ınez H, G´omez-Aguilar JF. A Observer for Mems Gyroscope System. Microsyst
new modified definition of Caputo–Fabrizio Technol. 2022;28(8):1867–1877.
fractional-order derivative and their applica- 67. Podlubny I, ed. Chapter 2—Fractional Deriva-
tions to the Multi Step Homotopy Analysis tives and Integrals. In: Mathematics in Science
Method (MHAM). J Comput Appl Math. and Engineering. Elsevier; 1999: 41–119.
2019;346:247–260. https://doi.org/10.1016/S0076-5392(99)80021-6
https://doi.org/10.1016/j.cam.2018.07.023 68. Zhang X, Xu W, Lu W. Fractional-order iter-
57. Zhao C, Xue D, Chen Y. A fractional order ative sliding mode control based on the neu-
PID tuning algorithm for a class of fractional ral network for manipulator. Math Probl Eng.
order plants. IEEE Int Conf Mechatron Autom. 2021;2021(1):9996719.
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https://doi.org/doi: 69. Islam MR, Rahmani M, Rahman MH. A novel
10.1109/ICMA.2005.1626550 exoskeleton with fractional sliding mode con-
58. Zahraoui Y, Zaihidee FM, Kermadi M, et trol for upper limb rehabilitation. Robotica,
al. Fractional Order Sliding Mode Controller 2020;38(11):2099-2120.
Based on Supervised Machine Learning Tech- https://doi.org/10.1017/S0263574719001851
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https://doi.org/10.3390/math11061457 Mehmet Yavuz received a BSc degree (2009) from
59. Yuvapriya T, Lakshmi P. Simulation study on Zonguldak Bulent Ecevit University, T¨urkiye, and both
MSc (2012) and PhD (2016) degrees in Applied Math-
ride comfort enhancement for a heavy duty vehi-
ematics from Balıkesir University, T¨urkiye. He vis-
cle with fractional order sliding mode controller.
ited the Department of Mathematics, University of Ex-
SN Appl Sci. 2020;2(9):1478.
https://doi.org/10.1007/s42452-020-03263-3 eter, U.K., in the period 2019-2020 for postdoctoral re-
60. Nafiz Musarrat M, Fekih A. Fractional Order search. He is currently a Full Professor in the Mathe-
matics and Computer Sciences Department at Necmet-
SMC Design to Enhance the Dynamic Stability
tin Erbakan University, T¨urkiye. He has published
of PV Systems During Unexpected Network
more than 100 research papers in reputed journals and
Events. 2022 American Control Conference
conference papers as well as 10 book chapters in in-
(ACC), 2022;2553–2558.
https://doi.org/10.23919/ACC53348.2022.9867426 ternational books. Moreover, he edited 4 international
books published by esteemed publishers. He is currently
61. Beniss MA, El Moussaoui H, Lamhamdi T, El
concerned with fractional calculus, and its applications
Markhi H. Comparative Study Between FOSMC
to the different fields of science, mathematical biol-
and SMC Controllers for DFIG Under the Real
ogy, nonlinear dynamics, and optimal control. He has
Wind Profile of Asilah-Morocco City. In: Bennani
S, Lakhrissi Y, Khaissidi G, Mansouri A, Kham- more than 12 years of research and teaching experience
in these fields. Apart from being an Associate Editor
lichi Y, eds. WITS 2020. Springer; 2022: 673–685.
in several esteemed journals, he is the Editor-in-Chief
https://doi.org/10.1007/978-981-33-6893-4 6 2
of the journals “Mathematical Modelling and Numer-
62. Basilio JCC, Oliveira TR, Ribeiro JGT, Cunha
ical Simulation with Applications” and “Bulletin of
A. Evaluation of Fractional-Order Sliding Mode
Control Applied to an Energy Harvesting Sys- Biomathematics”
tem. 2022 16th International Workshop on Vari- https://orcid.org/0000-0002-3966-6518
able Structure Systems (VSS), 2022; 243–248. Muhammet Ozturk received his PhD degree from Is-
https://doi.org/10.1109/VSS57184.2022.9902105 tanbul Technical University, Department of Aeronau-
¨
63. Yavuz M, Ozt¨urk M, Ya¸skıran B. Sliding Mode tical and Astronautical Engineering in 2022. He is an
Controller of Fractional Order for a Robot Ma- Assistant Professor at Necmettin Erbakan University,
nipulator Control. In: Jha BK, Jha N, Brahma Department of Aeronautical Engineering. His research
J, Yavuz M, eds. Computational Modeling and areas are neuro-fuzzy control, sliding mode control, or-
Sustainable Energy. ICCMSE 2023. Innovations bital mechanics, and dynamics.
in Sustainable Technologies and Computing. https://orcid.org/0000-0002-0057-5205
Springer; 2025. Burcu Yaskiran received her M.S. degree from
https://doi.org/10.1007/978-981-97-6794-6 1 2 Necmettin Erbakan University, Department of Mathe-
64. Belhocine M, Hamerlain M, Bouyoucef K. Ro- matics and Computer Science in 2018. She is a PhD
bot control using a sliding mode.Proceedings of student at the same university. Her research interests
12th IEEE International Symposium on Intelli- include applied mathematics, fractional analysis and
gent Control, 1997;361–366. Istanbul, Turkey. fractional order sliding mode control.
https://doi.org/10.1109/ISIC.1997.626506 292 https://orcid.org/0000-0003-3085-1837