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Yunkang Du and Zuoliang Xu
In this paper, we recover the European option volatility function σ(t)" role="presentation">??(??)s(t)
s
(
t
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of the underlying asset and the fractional order α" role="presentation" style="position: relative;">??a
a
of the time fra...
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Haixia Jin, Jingjing Peng, Rutian Bi, Huiwen Tian, Hongfen Zhu and Haoxi Ding
Mapping soil organic carbon (SOC) accurately is essential for sustainable soil resource management. Hyperspectral data, a vital tool for SOC mapping, is obtained through both laboratory and satellite-based sources. While laboratory data is limited to sam...
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Heguang Sun, Lin Zhou, Meiyan Shu, Jie Zhang, Ziheng Feng, Haikuan Feng, Xiaoyu Song, Jibo Yue and Wei Guo
Southern blight significantly impacts peanut yield, and its severity is exacerbated by high-temperature and high-humidity conditions. The mycelium attached to the plant?s interior quickly proliferates, contributing to the challenges of early detection an...
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Iqbal M. Batiha, Ahmad A. Abubaker, Iqbal H. Jebril, Suha B. Al-Shaikh, Khaled Matarneh and Manal Almuzini
This paper establishes a novel fractional-order version of a recently expanded form of the Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by means of demonstrating some significant findings connected with the stabil...
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Marcin Bakala, Piotr Duch and Piotr Ostalczyk
This paper proposes a simple mathematical model based on the variable fractional-order difference equation of a robot arm. The model of the described arm does not consider the impact of the movement of the mobile platform, it was assumed that all degrees...
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Xiaodong Lv, Guangming Zhang, Zhiqing Bai, Xiaoxiong Zhou, Zhihan Shi and Mingxiang Zhu
In this paper, an adaptive neural network global fractional order fast terminal sliding mode model-free intelligent PID control strategy (termed as TDE-ANNGFOFTSMC-MFIPIDC) is proposed for the hypersonic vehicle ground thermal environment simulation test...
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Bingcheng Huang, Aizhong Lu and Ning Zhang
A solution is proposed for ground surface settlement induced in fractional-generalised Kelvin semi-infinite space by distributed loads, based on the fractional differential theory. The effects of four main parameters?the differential order, the two shear...
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Xin Shi, Pengfei Chen and Linying Chen
Due to the influence of the natural environment, it is very challenging to control the movement of ships to navigate safely and avoid potential risks induced by external environmental factors, especially for the development of autonomous ships in inland ...
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Xuan Zhou, Yang Zheng, Bo Xu, Wushuang Liu, Yidong Zou and Jinbao Chen
Speed governing control is significant in ensuring the stable operation of pumped storage units. In this study, a state-space equation mathematical model of the pumped storage governing system considering the complex hydraulic pipeline structure of the p...
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Rui Tang, Chengjin Qin, Mengmeng Zhao, Shuang Xu, Jianfeng Tao and Chengliang Liu
Due to factors such as uneven guide rails and airflow disturbance in the hoistway, high-speed elevators may experience significant vibrations during operation. This paper proposes an optimized fractional-order PID (FOPID) method to suppress vibrations of...
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