A new characteristic property of Mittag-Leffler functions and fractional cosine functions

DOI10.4064/sm220-2-2zbMath1297.33015OpenAlexW2322540746MaRDI QIDQ5746489

Junxiong Jia, Ji-Gen Peng, Zhan-Dong Mei

Publication date: 18 February 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm220-2-2

zbMATH Keywords

Mittag-Leffler functionscharacteristic propertyabstract fractional Cauchy problemfractional cosine function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Abstract integral equations, integral equations in abstract spaces (45N05) Fractional ordinary differential equations (34A08)

Related Items (4)

General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1\) in Banach spaces] ⋮ Perturbation properties of fractional strongly continuous cosine and sine family operators ⋮ A novel algebraic characteristic of fractional resolvent families ⋮ Sharp extensions and algebraic properties for solution families of vector-valued differential equations

This page was built for publication: A new characteristic property of Mittag-Leffler functions and fractional cosine functions