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, vol.386, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 386
  • Publication Date: 2020
  • Doi Number: 10.1016/j.amc.2020.125425
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION

Abstract

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.