Analysis of Riccati differential equations within a new fractional derivative without singular kernel

Jafari, Hossein; Baleanu, Dumitru; Lia, Atena; Tejadodi, Haleh

Analysis of Riccati differential equations within a new fractional derivative without singular kernel

dc.authorid	Tajadodi, Haleh/0000-0001-8369-3698
dc.authorid	Jafari, Hossein/0000-0001-6807-6675
dc.authorscopusid	26642881400
dc.authorscopusid	57193651918
dc.authorscopusid	55612315500
dc.authorscopusid	7005872966
dc.authorwosid	Jafari, Hossein/E-9912-2016
dc.authorwosid	Baleanu, Dumitru/B-9936-2012
dc.authorwosid	Tajadodi, Haleh/Aic-4185-2022
dc.contributor.author	Jafari, Hossein
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Lia, Atena
dc.contributor.author	Tejadodi, Haleh
dc.contributor.author	Baleanu, Dumitru
dc.contributor.authorID	56389	tr_TR
dc.contributor.other	Matematik
dc.date.accessioned	2020-02-21T11:12:25Z
dc.date.available	2020-02-21T11:12:25Z
dc.date.issued	2017
dc.department	Çankaya University	en_US
dc.department-temp	[Jafari, Hossein; Lia, Atena] Univ Mazandaran, Dept Math, POB 47416-95447, Babol Sar, Iran; [Tejadodi, Haleh] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG 23, Magurele 76900, Romania; [Jafari, Hossein] Univ South Africa, Dept Math Sci, POB 392, ZA-0003 Unisa, South Africa	en_US
dc.description	Tajadodi, Haleh/0000-0001-8369-3698; Jafari, Hossein/0000-0001-6807-6675	en_US
dc.description.abstract	Recently Caputo and Fabrizio suggested new definition of fractional derivative that the new kernel has no singularity. In this paper, an analytical method for solving Riccati differential equation with a new fractional derivative is reported. We present numerical results of solving the fractional Riccati differential equations by using the variational iteration method and its modification. The obtained results of two methods demonstrate the efficiency and simplicity of the MVIM that gives good approximations for a larger interval.	en_US
dc.description.woscitationindex	Science Citation Index Expanded
dc.identifier.citation	Jafari, Hossein; Lia, Atena; Tejadodi, Haleh; Baleanu, Dumitru, "Analysis of Riccati differential equations within a new fractional derivative without singular kernel", Fundamenta Informaticae, Vol. 151, No. 1-4, pp. 161-171, (2017).	en_US
dc.identifier.doi	10.3233/FI-2017-1485
dc.identifier.endpage	171	en_US
dc.identifier.issn	0169-2968
dc.identifier.issn	1875-8681
dc.identifier.issue	1-4	en_US
dc.identifier.scopus	2-s2.0-85015443587
dc.identifier.scopusquality	Q3
dc.identifier.startpage	161	en_US
dc.identifier.uri	https://doi.org/10.3233/FI-2017-1485
dc.identifier.volume	151	en_US
dc.identifier.wos	WOS:000398583500010
dc.identifier.wosquality	Q4
dc.language.iso	en	en_US
dc.publisher	Ios Press	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.rights	info:eu-repo/semantics/closedAccess	en_US
dc.scopus.citedbyCount	13
dc.subject	Caputo-Fabrizio Derivative	en_US
dc.subject	Riccati Differential Equations	en_US
dc.subject	Fractional Derivative	en_US
dc.title	Analysis of Riccati differential equations within a new fractional derivative without singular kernel	tr_TR
dc.title	Analysis of Riccati Differential Equations Within a New Fractional Derivative Without Singular Kernel	en_US
dc.type	Article	en_US
dc.wos.citedbyCount	8
dspace.entity.type	Publication
relation.isAuthorOfPublication	f4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscovery	f4fffe56-21da-4879-94f9-c55e12e4ff62
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relation.isOrgUnitOfPublication.latestForDiscovery	26a93bcf-09b3-4631-937a-fe838199f6a5

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