Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

Abdeljawad, Thabet; Baleanu, Dumitru

dc.contributor.author	Abdeljawad, Thabet
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2018-10-10T14:41:32Z
dc.date.available	2018-10-10T14:41:32Z
dc.date.issued	2017
dc.identifier.citation	Abdeljawad, T., Baleanu, D. (2017). Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Journal Of Nonlinear Sciences And Applications, 10(3), 1098-1107. http://dx.doi.org/ 10.22436/jnsa.010.03.20	tr_TR
dc.identifier.issn	2008-1898
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1848
dc.description.abstract	In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the newly suggested nonlocal fractional derivative with Mittag-Leffler kernel. Then, we obtain the related integration by parts formula. We use the Q-operator to confirm our results. The related Euler-Lagrange equations are reported and one illustrative example is discussed.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	INT Scientific Research Pub.	tr_TR
dc.relation.isversionof	10.22436/jnsa.010.03.20	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Mittag-Leffler Function	tr_TR
dc.subject	Fractional Integration by Parts	tr_TR
dc.subject	Fractional Euler-Lagrange Equations	tr_TR
dc.title	Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Journal Of Nonlinear Sciences And Applications	tr_TR
dc.identifier.volume	10	tr_TR
dc.identifier.issue	3	tr_TR
dc.identifier.startpage	1098	tr_TR
dc.identifier.endpage	1107	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR