Academic Journal
Solving distributed-order fractional optimal control problems via the Fibonacci wavelet method
| العنوان: | Solving distributed-order fractional optimal control problems via the Fibonacci wavelet method |
|---|---|
| المؤلفون: | Sabermahani, Sedigheh, Ordokhani, Yadollah |
| المصدر: | Journal of Vibration and Control ; volume 30, issue 1-2, page 418-432 ; ISSN 1077-5463 1741-2986 |
| بيانات النشر: | SAGE Publications |
| سنة النشر: | 2023 |
| الوصف: | A new approach to finding the approximate solution of distributed-order fractional optimal control problems (D-O FOCPs) is proposed. This method is based on Fibonacci wavelets (FWs). We present a new Riemann–Liouville operational matrix for FWs using the hypergeometric function. Using this, an operational matrix of the distributed-order fractional derivative is presented. Implementing the mentioned operational matrix with the help of the Gauss–Legendre numerical integration, the problem converts to a system of algebraic equations. Error analysis is proposed. Finally, the validation of the present technique is checked by solving some numerical examples. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1177/10775463221147715 |
| الاتاحة: | https://doi.org/10.1177/10775463221147715 https://journals.sagepub.com/doi/pdf/10.1177/10775463221147715 https://journals.sagepub.com/doi/full-xml/10.1177/10775463221147715 |
| Rights: | https://journals.sagepub.com/page/policies/text-and-data-mining-license |
| رقم الانضمام: | edsbas.10225214 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1177/10775463221147715 |
|---|