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


Erman S., DEMİR A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.386, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 386
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.amc.2020.125425
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION

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.