Solving Fractional Optimal Control Problems Involving Caputo-Fabrizio Derivative Using Hermite Spline Functions

Araz Noori Dalawi; Mehrdad Lakestani; Elmira Ashpazzadeh

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Solving Fractional Optimal Control Problems Involving Caputo-Fabrizio Derivative Using Hermite Spline Functions

机译：Solving Fractional Optimal Control Problems Involving Caputo-Fabrizio Derivative Using Hermite Spline Functions

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In the current research, we develop a collocation method based on the biorthogonal Hermite cubic spline functions to solve a class of fractional optimal control problems using Caputo-Fabrizio derivative operator. We design dual bases for Hermite cubic spline functions for the first time in this work. So, we present two direct and efficient algorithms to solve a class of fractional optimal control problems. Two new operational matrices of Caputo-Fabrizio fractional derivative are derived using Hermite cubic spline functions. By employing these matrices, we reduce these problems to systems of algebraic equations. Illustrative examples are examined to demonstrate the important features of the new algorithm.

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来源
《Iranian Journal of Science》 |2023年第2期|545-566|共22页
作者
Araz Noori Dalawi; Mehrdad Lakestani; Elmira Ashpazzadeh;
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作者单位

Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran;

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正文语种英语
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Fractional optimal control; Caputo-Fabrizio derivative; Hermite spline functions; Operational matrix of fractional derivative; Collocation method;

Solving Fractional Optimal Control Problems Involving Caputo-Fabrizio Derivative Using Hermite Spline Functions

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