%0 Journal Article
%T New direction in fractional differentiation
%A Atangana, Abdon
%A Koca, Ilknur
%J Mathematics in Natural Science
%D 2017
%V 1
%N 1
%@ ISSN 2600-7665
%F Atangana2017
%X Based upon the Mittag-Leffler function, new derivatives with fractional order were constructed. With the same line of
idea, improper derivatives based on the Weyl approach are constructed in this work. To further model some complex physical
problems that cannot be modeled with existing derivatives with fractional order, we propose, a new derivative based on the
more generalized Mittag-Leffler function known as Prabhakar function. Some new results are presented together with some
applications.
%9 journal article
%R 10.22436/mns.01.01.02
%U http://dx.doi.org/10.22436/mns.01.01.02
%P 18--25