The monotonic property and stability of solutions of fractional differential equations

✍ Scribed by Sung Kyu Choi; Namjip Koo

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 225 KB
• Volume: 74
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2011.06.037

✦ Synopsis

In this paper we improve on the monotone property of Lemma 1.7.3 in Lakshmikantham et al. (2009) [5] for the case g(t, u) = λu with a nonnegative real number λ. We also investigate the Mittag-Leffler stability of solutions of fractional differential equations by using the fractional comparison principle.