NEW FRACTIONAL DERIVATIVE IN COLOMBEAU ALGEBRA

Yıl 2018, Cilt: 1 Sayı: 2, 180 - 189, 31.07.2018

Said Melliani , Ahmed Chafiki Lalla Saadia Chadli , Mohamed Oukessou

Öz

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]).

Anahtar Kelimeler

Colombeau algebra, Generalized functions

Kaynakça

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