Solving fractional optimal control problems using Genocchi polynomials

Moghaddam M. A., Tabriz Y. E., Lakestanı M.

Computational Methods for Differential Equations, cilt.9, sa.1, ss.79-93, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22034/cmde.2020.40292.1759
  • Dergi Adı: Computational Methods for Differential Equations
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.79-93
  • Anahtar Kelimeler: Caputo fractional derivative, Genocchi polynomials, Operational matrix, Optimal control problems
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we solve a class of fractional optimal control problems in the sense of Caputo derivative using Genocchi polynomials. At first we present some properties of these polynomials and we make the Genocchi operational matrix for Caputo fractional derivatives. Then using them, we solve the problem by converting it to a system of algebraic equations. Some examples are presented to show the efficiency and accuracy of the method.