Parameter estimation of fractional uncertain differential equations via Adams method
Articles
Guo-Cheng Wu
Neijiang Normal University
https://orcid.org/0000-0002-1946-6770
Jia-Li Wei
Nanjing University of Finance and Economics
https://orcid.org/0000-0002-0944-5298
Cheng Luo
Nanjing University of Finance and Economics
https://orcid.org/0000-0002-6977-1773
Lan-Lan Huang
Neijiang Normal University
https://orcid.org/0000-0002-1946-6770
Published 2022-02-17
https://doi.org/10.15388/namc.2022.27.25363
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Keywords

fractional calculus
fractional uncertain differential equations
parameter estimation
Adams method

How to Cite

Wu G.-C., Wei J.-L., Luo C. and Huang L.-L. (2022) “Parameter estimation of fractional uncertain differential equations via Adams method”, Nonlinear Analysis: Modelling and Control, 27(3), pp. 413-427. doi: 10.15388/namc.2022.27.25363.

Abstract

Parameter estimation of uncertain differential equations becomes popular very recently. This paper suggests a new method based on fractional uncertain differential equations for the first time, which hold more parameter freedom degrees. The Adams numerical method and Adam algorithm are adopted for the optimization problems. The estimation results are compared to show a better forecast. Finally, the predictor–corrector method is adopted to solve the fractional uncertain differential equations. Numerical solutions are demonstrated with varied α-paths.

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