Journal
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume 226, Issue 16-18, Pages 3567-3575Publisher
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2018-00020-2
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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.
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