1403/04/01
سمیه نعمتی

سمیه نعمتی

مرتبه علمی: دانشیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 01135302419

مشخصات پژوهش

عنوان
A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Fractional optimal control problems, Caputo fractional derivative, Riemann-Liouville fractional integral, Second-kind Chebyshev polynomials, Operational matrix
سال
2016
مجله sahand communications in mathematical analysis
شناسه DOI
پژوهشگران Somayeh Nemati

چکیده

In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatly simplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.