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
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.
Download File
Official URL or Download Paper: https://reader.elsevier.com/reader/sd/pii/S0960077...
|
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: | Ms. Nida Hidayati Ghazali |
| Date Deposited: | 02 Apr 2019 02:57 |
| Last Modified: | 02 Apr 2019 02:57 |
| 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 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |