期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 279, 期 -, 页码 57-66出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2014.10.016
关键词
Left and right conformable fractional derivatives; Left and right conformable fractional integrals; Fractional Taylor power series expansion; Fractional exponential function; Fractional Gronwall's inequality; Chain rule
Recently, the authors Khalil et al. (2014) introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative. In this article we proceed on to develop the definitions there and set the basic concepts in this new simple interesting fractional calculus. The fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed. (C) 2014 Elsevier By. All rights reserved.
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