عنوان المقالة:حلول بعض أنواع المعادلات التفاضلية ذات الرتب الكسرية التركيب المقابلة لمسائل السيطرة المثلى Solution of Some Types for Composition Fractional Order Differential Equations Corresponding to Optimal Control Problems
معتز عباس هليل | Moataz Abbas Holel | 7662
نوع النشر
مجلة علمية
المؤلفون بالعربي
معتز عباس هليل
المؤلفون بالإنجليزي
Moataz Abbas Holel
الملخص العربي
The approximate solution for solving a class of composition fractional order optimal control problems (FOCPs) is suggested and studied in detail. However, the properties of Caputo and Riemann-Liouville derivatives are also given with complete details on Chebyshev approximation function to approximate the solution of fractional differential equation with different approach. Also, the relation between Caputo and Riemann-Liouville of fractional derivative took a big role for simplifying the fractional differential equation that represents the constraints of optimal control problems. The approximate solutions are defined on interval and are compared with the exact solution of order one which is an important condition to support the working method. Finally, illustrative examples are included to confirm the efficiency and accuracy of the proposed .method
تاريخ النشر
01/08/2018
الناشر
Journal of Control Science and Engineering
رقم المجلد
2018
رقم العدد
رابط DOI
https://doi.org/10.1155/2018/3767263
الصفحات
12
رابط الملف
تحميل (376 مرات التحميل)
الكلمات المفتاحية
Optimal control, Fractional calculus, Caputo derivatives, Composition fractional optimal control, Chebyshev finite difference method.
رجوع