On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)

DOI10.3934/dcdsb.2014.19.2267zbMath1303.26007arXiv1305.0161OpenAlexW2228698783MaRDI QIDQ478710

Francesco Mainardi

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0161

zbMATH Keywords

Mittag-Leffler functionasymptotic analysisrational approximationscomplete monotonicityfractional relaxation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Initial value problems for PDEs with pseudodifferential operators (35S10)

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Uses Software

• Mittag-Leffler
• mlf

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