On a study for the neutral Caputo fractional multi-delayed differential equations with noncommutative coefficient matrices

Aydın M., Mahmudov N. I.

Chaos, Solitons and Fractals, cilt.161, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 161
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.chaos.2022.112372
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Fractional derivative, Fractional neutral multi-delayed differential equation, Neutral multi-delay perturbation, Existence and uniqueness of solutions, Stability, Relative controllability
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

© 2022 Elsevier LtdThe representation of a solution to a neutral linear fractional multiple-delay differential inhomogeneous system with non-commutative coefficient matrices is studied using a multiple-delay perturbation of a matrix function of the Mittag-Leffler type. Second, the existence and uniqueness of the solution are discussed along with the Ulam-Hyers stability of a semilinear neutral fractional differential with multiple delays. Thirdly, with the help of the Krasnoselskii's fixed point theorem, a sufficient condition for the relative controllability of a semilinear neutral fractional differential system with multiple-delay is obtained. Numerical examples confirm the theoretical conclusions.