A SPECTRAL METHOD BASED ON THE SECONDKIND CHEBYSHEV POLYNOMIALS FOR SOLVING ACLASS OF FRACTIONAL OPTIMAL CONTROLPROBLEMS
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 310
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شناسه ملی سند علمی:
JR_SCMA-4-1_002
تاریخ نمایه سازی: 12 تیر 1396
چکیده مقاله:
In this paper, we consider the second-kind Chebyshevpolynomials (SKCPs) for the numerical solution of the fractionaloptimal control problems (FOCPs). Firstly, an introduction of thefractional calculus and properties of the shifted SKCPs are givenand then operational matrix of fractional integration is introduced.Next, these properties are used together with the Legendre-Gaussquadrature formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatlysimplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.
کلیدواژه ها:
Fractional optimal control problems ، Caputo fractionalderivative ، Riemann-Liouville fractional integral ، Second-kind Chebyshev polynomials ، Operational matrix
نویسندگان
SOMAYEH NEMATI
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.