التفاصيل البيبلوغرافية
| العنوان: |
Numerical solutions of fractional optimal control with Caputo–Katugampola derivative |
| المؤلفون: |
N. H. Sweilam, A. M. Nagy, T. M. Al-Ajami |
| المصدر: |
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021) |
| بيانات النشر: |
SpringerOpen, 2021. |
| سنة النشر: |
2021 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
Caputo–Katugampola fractional derivative, Fractional optimal control problems, Chebyshev expansion, Spectral methods, Mathematics, QA1-939 |
| الوصف: |
Abstract In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative. The proposed technique is based on a spectral method using shifted Chebyshev polynomials of the first kind. The Clenshaw and Curtis scheme for the numerical integration and the Rayleigh–Ritz method are used to estimate the state and control variables. Moreover, the error bound of the fractional derivative operator approximation of Caputo–Katugampola is derived. Illustrative examples are provided to show the validity and applicability of the presented technique. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
1687-1847 |
| Relation: |
https://doaj.org/toc/1687-1847 |
| DOI: |
10.1186/s13662-021-03580-w |
| URL الوصول: |
https://doaj.org/article/fda76998625749e5af970dd0834e8293 |
| رقم الانضمام: |
edsdoj.fda76998625749e5af970dd0834e8293 |
| قاعدة البيانات: |
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