NEW FRACTIONAL DERIVATIVE IN COLOMBEAU ALGEBRA

Authors : Said MELLİANİ, Ahmed CHAFİKİ, Lalla Saadia CHADLİ, Mohamed OUKESSOU
Pages : 180-189
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Publication Date : 2018-07-31
Article Type : Research Paper
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 insert ignore into journalissuearticles values([8]);.
Keywords : Colombeau algebra, Generalized functions

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