A new fractional derivative involving the normalized sinc function without singular kernel

A new fractional derivative involving the normalized sinc function without singular kernel

In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are...

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Veröffentlicht in:The European physical journal. ST, Special topics Special topics, 2017-12, Vol.226 (16-18), p.3567-3575
Hauptverfasser: Yang, Xiao-Jun, Gao, Feng, Tenreiro Machado, J. A., Baleanu, Dumitru
Format: Artikel
Sprache:eng
Schlagworte:
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Dimensional analysis
Fractional Dynamical Systems - Recent Trends in Theory and Applications
Laplace transforms
Materials Science
Measurement Science and Instrumentation
Molecular
Operators (mathematics)
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
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Zusammenfassung:In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2018-00020-2