Affiliation:
1. Laboratory of Applied Mathematics and Scientific Competing, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, Morocco
Abstract
This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition
for all
, and
. If
, this definition coincides to the classical definition of the first order of the function
.
Subject
Applied Mathematics,Analysis
Reference6 articles.
1. Theory and applications of fractional differential equations;A. Kilbas,2006
2. A new definition of fractional derivative;R. Khalil;Journal of Computational and Applied Mathematics,2014
Cited by
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