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A novel approach to approximate fractional derivative with uncertain conditions


Citation

Ahmadian, A. and Salahshour, S. and Al-Bakri, M. Ali and Ismail, Fudziah and Baleanu, D. (2017) A novel approach to approximate fractional derivative with uncertain conditions. Chaos, Solitons & Fractals, 104. 68 - 76. ISSN 0960-0779; ESSN: 1873-2887

Abstract / Synopsis

This paper focuses on providing a new scheme to find the fuzzy approximate solution of fractional differential equations (FDEs) under uncertainty. The Caputo-type derivative base on the generalized Hukuhara differentiability is approximated by a linearization formula to reduce the corresponding uncertain FDE to an ODE under fuzzy concept. This new approach may positively affect on the computational cost and easily apply for the other types of uncertain fractional-order differential equation. The performed numerical simulations verify the proficiency of the presented scheme.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1016/j.chaos.2017.07.026
Publisher: Elsevier
Keywords: Fractional differential equations; Caputo-type derivative; Laplace transforms; Basset problem; Uncertainty
Depositing User: Nida Hidayati Ghazali
Date Deposited: 02 Apr 2019 10:57
Last Modified: 02 Apr 2019 10:57
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.chaos.2017.07.026
URI: http://psasir.upm.edu.my/id/eprint/60678
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