In this paper, a new notion, named Riemann-Liouville fractional cosine
function is presented. It is proved that a Riemann-Liouville $\alpha$-order
fractional cosine function is equivalent to Riemann-Liouville $\alpha$-order
fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math.
Nachr. 288, No. 7, 784-797 (2015)]

Mei, Zhan-Dong

Peng, Ji-Gen

English

arXiv

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]

Riemann-Liouville Fractional Cosine Functions

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