NEW FRACTIONAL DERIVATIVE IN COLOMBEAU ALGEBRA

ISSN: 2618-5660
Başlangıç: 2018
Yayıncı: Gökhan ÇUVALCIOĞLU

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,

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