Scholarlink

<p>In this work, we study a class of optimal control problems involving the Atangana–Baleanu fractional derivative. This nonsingular operator is often used to describe physical and engineering processes with memory, such as viscoelastic materials, anomalous transport, or systems with hereditary effects. To handle these problems, we introduce a set of fractional truncated exponential functions (FTEFs) and use them together with the AB fractional Riemann–Liouville integral to build an efficient numerical scheme. The proposed approach transforms the fractional optimal control problem into a system of nonlinear algebraic equations, which can be solved in a straightforward way. Several numerical examples are presented to illustrate the accuracy of the method. The results show that the approach provides stable and precise approximations and can be applied to a wide range of fractional dynamical systems. Possible extensions include multidimensional models, different fractional orders, and problems with additional constraints.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Fractional truncated exponential technique to solve the optimal control Atangana–Baleanu problems

  • 期刊论文

  • 发表日期：

    2026年2月1日

查看全文
  • Said Ounamane,
  • Lakhlifa Sadek,
  • Bouchra Abouzaid,
  • El Mostafa Sadek

摘要

In this work, we study a class of optimal control problems involving the Atangana–Baleanu fractional derivative. This nonsingular operator is often used to describe physical and engineering processes with memory, such as viscoelastic materials, anomalous transport, or systems with hereditary effects. To handle these problems, we introduce a set of fractional truncated exponential functions (FTEFs) and use them together with the AB fractional Riemann–Liouville integral to build an efficient numerical scheme. The proposed approach transforms the fractional optimal control problem into a system of nonlinear algebraic equations, which can be solved in a straightforward way. Several numerical examples are presented to illustrate the accuracy of the method. The results show that the approach provides stable and precise approximations and can be applied to a wide range of fractional dynamical systems. Possible extensions include multidimensional models, different fractional orders, and problems with additional constraints.