اخبار و اعلانات

دانشگاه سیستان و بلوچستان

آمار

تعداد نشریات25
تعداد شماره‌ها498
تعداد مقالات5,187
تعداد مشاهده مقاله7,491,071
تعداد دریافت فایل اصل مقاله5,056,442
shafiof, seyed mehdi, Askari Marnani, Javad, shamssolary, maryam. (1400). Hybrid functions to solve fractional optimal control problems using the collocation method. نشریه علمی دانشگاه سیستان و بلوچستان, (), -. doi: 10.22111/ieco.2021.37207.1334
seyed mehdi shafiof; Javad Askari Marnani; maryam shamssolary. "Hybrid functions to solve fractional optimal control problems using the collocation method". نشریه علمی دانشگاه سیستان و بلوچستان, , , 1400, -. doi: 10.22111/ieco.2021.37207.1334
shafiof, seyed mehdi, Askari Marnani, Javad, shamssolary, maryam. (1400). 'Hybrid functions to solve fractional optimal control problems using the collocation method', نشریه علمی دانشگاه سیستان و بلوچستان, (), pp. -. doi: 10.22111/ieco.2021.37207.1334
shafiof, seyed mehdi, Askari Marnani, Javad, shamssolary, maryam. Hybrid functions to solve fractional optimal control problems using the collocation method. نشریه علمی دانشگاه سیستان و بلوچستان, 1400; (): -. doi: 10.22111/ieco.2021.37207.1334

Hybrid functions to solve fractional optimal control problems using the collocation method

International Journal of Industrial Electronics Control and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 تیر 1400  XML اصل مقاله (1017.86 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22111/ieco.2021.37207.1334
نویسندگان
seyed mehdi shafiof email 1؛ Javad Askari Marnani2؛ maryam shamssolary1
1Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
2Faculty of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran
چکیده
This article aims to introduce a modern numerical method based on the hybrid functions, consisting of the Bernoulli polynomials and Block-Pulse functions. An indirect approach is proposed for solving the fractional optimal control problems (FOCPs). Firstly, the two-point boundary value problem (TPBVP) is calculated for a class of FOCPs, including integer-fractional derivatives, leading to a system of fractional differential equations (FDEs), which have the left and right-sided Caputo fractional derivatives (CFD). Therefore, a new approach is proposing to achieve the left Riemann-Liouville fractional integral (LRLFI) and right Riemann-Liouville fractional integral (RRLFI) operators for Bernoulli hybrid functions. Then, hybrid functions approximation, LRLFI, and RRLFI operators, and the collocation method are used to solve the TPBVP. The error bounds for the hybrid function and LRLFI and RRLFI operators are also presented. Moreover, the convergence of the proposed method is proved. Finally, the simplicity and accuracy of the method are illustrated using some numerical examples.
کلیدواژه‌ها
Bernoulli Hybrid functions؛ Fractional optimal control؛ Riemann-Liouville fractional Integral operators. Collocation method
آمار
تعداد مشاهده مقاله: 19
تعداد دریافت فایل اصل مقاله: 30


Contact Us | Help & Support | Site Map

Journal Management System. Designed by sinaweb.