THERMAL SCIENCE
International Scientific Journal
GENERAL FRACTIONAL CALCULUS OPERATORS CONTAINING THE GENERALIZED MITTAG-LEFFLER FUNCTIONS APPLIED TO ANOMALOUS RELAXATION
ABSTRACT
In this paper, we address a family of the general fractional calculus operators of Wiman and Prabhakar types for the first time. The general Mittag-Leffler function to structure the kernel functions of the fractional order derivative operators and their Laplace integral transforms are considered in detail. The formulations are as the mathematical tools proposed to investigate the anomalous relaxation.
KEYWORDS
PAPER SUBMITTED: 2017-03-10
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-05-20
PUBLISHED ONLINE: 2017-09-09
THERMAL SCIENCE YEAR
2017, VOLUME
21, ISSUE
Supplement 1, PAGES [S317 - S326]
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