1 Professor and author of correspondence, Phone: +91 3222-283084, Fax: +91 3222 255303, Email: [email protected] ABSTRACT A numerical technique for the solution of a class of fractional optimal control problems has been proposed in this paper. The technique can used for problems defined both in terms of Riemann-Liouville and Caputo fractional derivatives. In this technique a Reflection Op...

Abstract: This paper presents an accurate numerical method for solving a class of fractional optimal control problems (FOCPs). The fractional derivative in these problems is in the Caputo sense. In this technique, we approximate FOCPs and end up with a finite dimensional problem. The method is based on the combination of the useful properties of Chebyshev polynomials approximation and finite di...

1 King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia 2 Beni-Suef University, Faculty of Science, Department of Mathematics, Beni-Suef, Egypt 3 Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt 4 King Abdulaziz University, Faculty of Engineering, Department of Chemical and Materials Engineering, Jeddah, Saudi Arabia 5 Cankaya...

We consider infinite horizon fractional variational problems, where the fractional derivative is defined in the sense of Caputo. Necessary optimality conditions for higher-order variational problems and optimal control problems are obtained. Transversality conditions are obtained in the case state functions are free at the initial time.

Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construction of minimizing steering controls for the modified energy functional are proposed.

Optimal control of fractional order systems is a long established domain calculus. Nevertheless, it relies on equations expressed in terms pseudo-state variables which raise fundamental questions. So remedy these problems, the authors propose this paper new and original approach to optimal based frequency distributed representation differential called infinite state approach, associated with an...

In the present paper, we are concerned with a fractional wave equation of Sturm–Liouville type in general star graph. We first give several existence, uniqueness and regularity results weak solutions for one-dimensional case using spectral theory; prove existence to quadratic boundary optimal control problem provide characterization via Euler–Lagrange first-order optimality conditions. then inv...