A Comparative study between variational iteration and adomian decemposition metheods for solving fractional optimal control problems
سال انتشار: 1396
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 458
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شناسه ملی سند علمی:
ICIORS10_027
تاریخ نمایه سازی: 11 شهریور 1397
چکیده مقاله:
In this article , we compare variational iteration and modified Adomian decomposition methods for solving a class of fractional optimal control problems (FOCPs) . We prove that these methods use the same iterative formula for solving linear FOCPs. The fractional derivative in these problems is in the Caputo sense . To solve the problem , first the necessary optimality conditions of FOCP are achieved for a linear tracking fractional optimal control problem and then these two methods are used to solve the resulting fractional differential equations . To illustrate the validity and applicability of the methods , some examples are provided. The results reveal that these methods are very accurate and efficient
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نویسندگان
Ali Alizadeh
Department of Mathematics, Payame Noor University, Tehran, Iran
Ali Nemati
Department of Mathematics, Payame Noor University, Tehran, Iran