Relation between the inverse Laplace transforms of \(I(t^{\beta })\) and \(I(t)\): application to the Mittag-Leffler and asymptotic inverse power law relaxation functions

DOI10.1007/s10910-005-5412-xzbMath1217.44003OpenAlexW2113051559MaRDI QIDQ551974

Mario N. Berberan-Santos

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-005-5412-x

zbMATH Keywords

Laplace transformMittag-Leffler functionrelaxation kineticsLévy distribution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10)

Related Items

Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators ⋮ Exact controllability of fractional order evolution equations in Banach spaces ⋮ Subordination principle for space-time fractional evolution equations and some applications ⋮ Mittag-Leffler functions and their applications ⋮ Properties of the Mittag-Leffler relaxation function

Cites Work

• Regenerative processes in supercooled liquids and glasses
• The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)