On the construction and stability analysis of the solution of linear fractional differential equation

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Erman S., Demir A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.386, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 386
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.amc.2020.125425
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fractional differential equation, Mittag-Leffler function, Exponentially stability, CALCULUS
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The aim of the study is to obtain the solutions of linear fractional differential equations including various orders of Caputo fractional derivatives in terms of Mittag-Leffler function by using its properties. Moreover, the stability and properties of the solutions are inves-tigated based on the form and the roots of the characteristic equation. Finally, the results are illustrated by examples (C) 2020 Elsevier Inc. All rights reserved.