What is it about?

New fractional-order Dickson functions are introduced for solving numerically fractional optimal control and variational problems involving Mittag–Leffler nonsingular kernel. In the process of the method, we use fractional-order Dickson functions and their properties to provide an accurate computational technique for calculating operational matrices, first. Then, with the help of operational matrices and the Lagrange multiplier method, these problems are reduced to a system of algebraic equations.

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Why is it important?

It is worth mention that the fractional basis functions are a powerful tool in the approximation of the functions with fractional order. In view of fractional Dickson functions, we offer efficient methods for calculating the components of operational matrices that lead to the development and improvement of the numerical method. It must be pointed out that, we introduce the new methodology to obtain the operational matrices with high accuracy, which is very effective in the accuracy of the method.

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This page is a summary of: A spectral framework for the solution of fractional optimal control and variational problems involving Mittag–Leffler nonsingular kernel, Journal of Vibration and Control, November 2020, SAGE Publications, DOI: 10.1177/1077546320974815.
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