NEW FRACTIONAL DERIVATIVE IN COLOMBEAU ALGEBRA

Year 2018, Volume: 1 Issue: 2, 180 - 189, 31.07.2018

Said Melliani , Ahmed Chafiki Lalla Saadia Chadli , Mohamed Oukessou

Abstract

In this paper we introduce an approach to fractional derivatives involving singularities based on the theory of algebras of generalized functions in the Colombeau algebra G, using new denition of fractional derivative called conformable fractional derivative introduced by the authors Khalil et al. in ([8]).

Keywords

Colombeau algebra, Generalized functions

References

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