A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations | Zendy

Fateme Ghomanjani | Zendy

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A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations

Author(s) -

Fateme Ghomanjani

Publication year - 2016

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2015.12.003

Subject(s) - mathematics , optimal control , computation , fractional calculus , riccati equation , algebraic riccati equation , differential equation , differential (mechanical device) , maple , mathematical optimization , mathematical analysis , algorithm , botany , aerospace engineering , engineering , biology

In the present paper, we apply the Bezier curves method for solving fractional optimal control problems (OCPs) and fractional Riccati differential equations. The main advantage of this method is that it can reduce the error of the approximate solutions. Hence, the solutions obtained using the Bezier curve method give good approximations. Some numerical examples are provided to confirm the accuracy of the proposed method. All of the numerical computations have been performed on a PC using several programs written in MAPLE 13

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