Riemann-Liouville Fractional Cosine Functions

2015/05/06 by Zhan-Dong Mei, Zhan‐Dong Mei, Jigen Peng +3
Mathematics · #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1505.01388

arxiv created 2015/05/06 · openalex publication_date 2015/05/06 · arxiv updated 2015/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• The random walk's guide to anomalous diffusion: a fractional dynamics approach

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