Efficient Solution for Multi-Delay Fractional Optimal Control Problems via Cubic B-Splines

Lakestanı M., Tuntaş R.

Optimal Control Applications and Methods, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/oca.70005
  • Dergi Adı: Optimal Control Applications and Methods
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: cubic B-spline functions, delay, fractional derivatives, numerical method, optimal control
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this article, we address multi-delay fractional optimal control problems using cubic B-spline functions. First, the properties of cubic B-spline functions are presented, and their operational matrices for derivatives of both ordinary and fractional orders are derived. These matrices are then utilized to transform the original problem into an optimization problem, which is subsequently converted into a system of algebraic equations using Lagrange multipliers. The approximate solution is obtained by solving this algebraic system. Numerical results are provided to demonstrate the validity, effectiveness, and stability of the proposed method.