Comments on: ``The failure of certain fractional calculus operators in two physical models

DOI10.1515/fca-2020-0012zbMath1437.26008OpenAlexW3007280897MaRDI QIDQ2176146

Dumitru Baleanu

Publication date: 4 May 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2020-0012

zbMATH Keywords

Mittag-Leffler functionfractional calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

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Cites Work

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• What is a fractional derivative?
• Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
• On the notion of fractional derivative and applications to the hysteresis phenomena
• Representations of acting processes and memory effects: general fractional derivative and its application to theory of heat conduction with finite wave speeds
• A new fractional modelling and control strategy for the outbreak of dengue fever
• On some new properties of fractional derivatives with Mittag-Leffler kernel
• A critical analysis of the Caputo-Fabrizio operator
• The failure of certain fractional calculus operators in two physical models
• General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems

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