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Solving variable-order fractional delay differential algebraic equations via fuzzy systems with application in delay optimal control problems | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 21، شماره 2، خرداد و تیر 2024، صفحه 67-85 اصل مقاله (781.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2024.43498.7646 | ||
| نویسندگان | ||
| Marzieh Mortezaee1؛ Mehdi Ghovatmand2؛ Alireza Nazemi* 3 | ||
| 1Shahrood | ||
| 2University of Shahrood | ||
| 3Shahrood University of Technology | ||
| چکیده | ||
| In this paper, a new approach based on fuzzy systems is used for solving variable-order fractional delay differential algebraic equations. The fractional derivatives are considered in the Atangana-Baleanu sense that is a new derivative with the non-singular and non-local kernel. By relying on the ability of fuzzy systems in function approximation, the fuzzy solutions of variables are substituted in variable-order fractional delay differential algebraic equations. The obtained algebraic equations system is then transformed into an error function minimization problem. A learning algorithm is used to achieve the adjustable parameters of fuzzy solutions. It is shown that the variable-order fractional delay optimal control problems can be reformulated as variable-order fractional delay differential algebraic equations and solved by the proposed method. The efficiency and accuracy of the presented approach are assessed through some illustrative examples of the variable-order fractional delay differential algebraic equations | ||
| کلیدواژهها | ||
| Variable-order fractional delay differential algebraic equations؛ Atangana-Baleanu derivative؛ Fuzzy system؛ Optimization؛ variable-order fractional delay optimal control problems | ||
| مراجع | ||
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