THERMAL SCIENCE
International Scientific Journal
GENERAL FRACTIONAL CALCULUS IN NON-SINGULAR POWER-LAW KERNEL APPLIED TO MODEL ANOMALOUS DIFFUSION PHENOMENA IN HEAT TRANSFER PROBLEMS
ABSTRACT
In this paper we address the general fractional calculus of Liouville-Weyl and Liouville-Caputo general fractional derivative types with non-singular power-law kernel for the first time. The Fourier transforms and the anomalous diffusions are discussed in detail. The formulations are adopted to describe complex phenomena of the heat transfer problems.
KEYWORDS
PAPER SUBMITTED: 2017-05-10
PAPER REVISED: 2017-06-25
PAPER ACCEPTED: 2017-07-10
PUBLISHED ONLINE: 2017-09-09
THERMAL SCIENCE YEAR
2017, VOLUME
21, ISSUE
Supplement 1, PAGES [S11 - S18]
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