A SPECTRAL METHOD BASED ON THE SECONDKIND CHEBYSHEV POLYNOMIALS FOR SOLVING ACLASS OF FRACTIONAL OPTIMAL CONTROLPROBLEMS
عنوان مقاله: A SPECTRAL METHOD BASED ON THE SECONDKIND CHEBYSHEV POLYNOMIALS FOR SOLVING ACLASS OF FRACTIONAL OPTIMAL CONTROLPROBLEMS
شناسه ملی مقاله: JR_SCMA-4-1_002
منتشر شده در شماره 1 دوره 4 فصل Autumn در سال 1395
شناسه ملی مقاله: JR_SCMA-4-1_002
منتشر شده در شماره 1 دوره 4 فصل Autumn در سال 1395
مشخصات نویسندگان مقاله:
SOMAYEH NEMATI - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
خلاصه مقاله:
SOMAYEH NEMATI - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
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.
کلمات کلیدی: Fractional optimal control problems, Caputo fractionalderivative, Riemann-Liouville fractional integral, Second-kind Chebyshev polynomials, Operational matrix
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/602983/