General uniqueness and monotone iterative technique for fractional differential equations

✍ Scribed by V. Lakshmikantham; A.S. Vatsala

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 213 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.09.006

✦ Synopsis

In this paper, the general existence and uniqueness result is proved which exhibits the idea of comparison principle. This result is also valid for fractional differential equations in a Banach space. The well-known monotone iterative technique is then extended for fractional differential equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions.