On fractional order derivatives and Darboux problem for implicit differential equations

✍ Scribed by Saïd Abbas; Mouffak Benchohra; Aleksandr N. Vityuk

• Book ID: 115064248
• Publisher: SP Versita
• Year: 2012
• Tongue: English
• Weight: 215 KB
• Volume: 15
• Category: Article
• ISSN: 1311-0454
• DOI: 10.2478/s13540-012-0012-5

✦ Synopsis

In this paper we prove some relations between the Riemann-Liouville and the Caputo fractional order derivatives, and we investigate the existence and uniqueness of solutions for the initial value problems (IVP for short), for a class of functional hyperbolic differential equations by using some fixed point theorems.