Riemann-Liouville fractional cosine functions

Abstract

In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15].

Keywords

• Riemann-Liouville fractional cosine function
• fractional resolvent
• fractional differential equation