Titlebook: Mathematical Topics on Modelling Complex Systems; In Memory of Profess J. A. Tenreiro Machado,Dimitri Volchenkov Book 2022 Higher Education

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An Efficient Operational Matrix Technique for Variable-Order Fractional Optimal Control Problems,meters (CP). The FC and CP are obtained optimally by minimizing the error of the approximate solution. Furthermore, a new variable-order fractional operational matrix (V-FOM) in the Caputo sense for the GP is derived. The efficiency and accuracy of the method are demonstrated with some examples.

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Solving Nonlinear Variable-Order Time Fractional Convection-Diffusion Equation with Generalized Polme fractional operational matrix (V-TFOM) for the GP transforms the problem into a system of nonlinear algebraic equations with unknown FC and CP leading to the approximate solution. Several numerical examples show that the proposed method is efficient.

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