New derivatives on the fractal subset of real-line

Golmankhaneh, Alireza K.; Baleanu, Dumitru

dc.contributor.author	Golmankhaneh, Alireza K.
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2017-04-19T07:40:28Z
dc.date.available	2017-04-19T07:40:28Z
dc.date.issued	2016-02
dc.identifier.citation	Golmankhaneh, A.R., Baleanu, D. (2016). New derivatives on the fractal subset of real-line. Entropy, 18(2). http://dx.doi.org/10.3390/e18020001	tr_TR
dc.identifier.issn	1099-4300
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1534
dc.description.abstract	In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. The non-local Laplace transformation is given and applied for solving linear and non-linear fractal equations. The advantage of using these new nonlocal derivatives on the fractals subset of real-line lies in the fact that they are better at modeling processes with memory effect	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	MDPI AG	tr_TR
dc.relation.isversionof	10.3390/e18020001	tr_TR
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Fractal Calculus	tr_TR
dc.subject	Triadic Cantor Set	tr_TR
dc.subject	Non-local Laplace Transformation	tr_TR
dc.subject	Memory Processes	tr_TR
dc.subject	Generalized Mittag-Leffler Function	tr_TR
dc.subject	Generalized Gamma Function	tr_TR
dc.subject	Generalized Beta Function	tr_TR
dc.title	New derivatives on the fractal subset of real-line	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Entropy	tr_TR
dc.identifier.volume	18	tr_TR
dc.identifier.issue	2	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR