New Discretization of Caputo-Fabrizio Derivative

Akman, Tuğba; Yıldız, Burak; Baleanu, Dumitru

dc.contributor.author	Akman, Tuğba
dc.contributor.author	Yıldız, Burak
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2020-03-27T07:42:33Z
dc.date.available	2020-03-27T07:42:33Z
dc.date.issued	2018-07
dc.identifier.citation	Akman, Tugba; Yildiz, Burak; Baleanu, Dumitru, "New discretization of Caputo-Fabrizio derivative", Computational & Applied Mathematics, Vol. 37, No.3, pp. 3307-3333, (2018)	tr_TR
dc.identifier.issn	0101-8205
dc.identifier.uri	http://hdl.handle.net/20.500.12416/2761
dc.description.abstract	We derive a numerical approximation, namely L1-2 formula, to the Caputo-Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1-2 formulas using Lagrange interpolation, respectively. We compute Caputo-Fabrizio derivatives of some known functions both theoretically and numerically. In addition, we solve non/linear sub-diffusion equations to test theoretical findings. Numerical results confirm the theoretically observed convergence rates.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Springer Heidelberg	tr_TR
dc.relation.isversionof	10.1007/s40314-017-0514-1	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Caputo-Fabrizio Derivative	tr_TR
dc.subject	Fractional Differentiation	tr_TR
dc.subject	L1 Formula	tr_TR
dc.subject	L1-2 Formula	tr_TR
dc.subject	Quadratic İnterpolation	tr_TR
dc.title	New Discretization of Caputo-Fabrizio Derivative	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Computational & Applied Mathematics	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	37	tr_TR
dc.identifier.issue	3	tr_TR
dc.identifier.startpage	3307	tr_TR
dc.identifier.endpage	3333	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR