HYPERBOLIC FRACTIONAL DIFFERENTIAL OPERATOR

Iyad Alhribat; Amer Abu Hasheesh

dc.contributor.author	Iyad Alhribat
dc.contributor.author	Amer Abu Hasheesh
dc.date.accessioned	2023-10-17T09:29:16Z
dc.date.available	2023-10-17T09:29:16Z
dc.date.issued	2023-08
dc.identifier.citation	Doi : https://doi.org/10.47013/16.2.11	en_US
dc.identifier.issn	2219-5688
dc.identifier.uri	scholar.ppu.edu/handle/123456789/9000
dc.description.abstract	In this paper, we introduce a new definition of fractional derivative by using the limit approach and based on hyperbolic functions for α ∈ (0, 1] which obeys classical properties including linearity, product rule and many fractional versions of other properties and results, such as Rolle’s theorem, and the mean value theorem. Further, if α = 1, the definition coincides with the classical definition of first derivative. We give some applications to fractional differential equations.	en_US
dc.language.iso	en	en_US
dc.publisher	Palestine Journal of Mathematics ( PJM)	en_US
dc.relation.ispartofseries	12(2);237–245
dc.subject	Fractional derivative, conformable derivative, fractional differential equations, hyperbolic fractional derivative, hyperbolic fractional integral	en_US
dc.title	HYPERBOLIC FRACTIONAL DIFFERENTIAL OPERATOR	en_US
dc.type	Article	en_US