A novel approach to approximate fractional derivative with uncertain conditions
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 unce...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60678/ http://psasir.upm.edu.my/id/eprint/60678/1/A%20novel%20approach%20to%20approximate%20fractional%20derivative%20with%20uncertain%20conditions.pdf |
| _version_ | 1848854250235363328 |
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| author | Ahmadian, A. Salahshour, S. Al-Bakri, M. Ali Ismail, Fudziah Baleanu, D. |
| author_facet | Ahmadian, A. Salahshour, S. Al-Bakri, M. Ali Ismail, Fudziah Baleanu, D. |
| author_sort | Ahmadian, A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T11:06:53Z |
| format | Article |
| id | upm-60678 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:06:53Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-606782019-04-02T02:57:17Z http://psasir.upm.edu.my/id/eprint/60678/ A novel approach to approximate fractional derivative with uncertain conditions Ahmadian, A. Salahshour, S. Al-Bakri, M. Ali Ismail, Fudziah Baleanu, D. 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. Elsevier 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60678/1/A%20novel%20approach%20to%20approximate%20fractional%20derivative%20with%20uncertain%20conditions.pdf 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 https://reader.elsevier.com/reader/sd/pii/S0960077917303193?token=3AAD781EA8B444DE42FF612CAE3D299E8A53E6186FC50AC3C6C4BA2C03231F3BC3E60D9EA31AED3659110A4EC0D43EED 10.1016/j.chaos.2017.07.026 |
| spellingShingle | Ahmadian, A. Salahshour, S. Al-Bakri, M. Ali Ismail, Fudziah Baleanu, D. A novel approach to approximate fractional derivative with uncertain conditions |
| title | A novel approach to approximate fractional derivative with uncertain conditions |
| title_full | A novel approach to approximate fractional derivative with uncertain conditions |
| title_fullStr | A novel approach to approximate fractional derivative with uncertain conditions |
| title_full_unstemmed | A novel approach to approximate fractional derivative with uncertain conditions |
| title_short | A novel approach to approximate fractional derivative with uncertain conditions |
| title_sort | novel approach to approximate fractional derivative with uncertain conditions |
| url | http://psasir.upm.edu.my/id/eprint/60678/ http://psasir.upm.edu.my/id/eprint/60678/ http://psasir.upm.edu.my/id/eprint/60678/ http://psasir.upm.edu.my/id/eprint/60678/1/A%20novel%20approach%20to%20approximate%20fractional%20derivative%20with%20uncertain%20conditions.pdf |