On the invalidity of semigroup property for the Mittag-Leffler function with two parameters

DOI10.1016/j.joems.2015.05.003zbMath1336.33040OpenAlexW565075062MaRDI QIDQ274483

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 April 2016

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.05.003

zbMATH Keywords

Mittag-Leffler functionCaputo fractional derivativesemigroup property

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12)

Related Items (8)

Dirac particle with memory: proper time non-locality ⋮ Fractional econophysics: market price dynamics with memory effects ⋮ A converse to the neo-classical inequality with an application to the Mittag-Leffler function ⋮ Self-organization with memory ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ Non-Markovian dynamics of open quantum system with memory ⋮ A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs ⋮ Some notes on properties of the matrix Mittag-Leffler function

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• On Mittag-Leffler-type functions in fractional evolution processes
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