The Fractional Linear Systems of Equations Within an Operational Approach
| dc.contributor.author | Saadatmandi, Abbas | |
| dc.contributor.author | Kadem, Abdelouahab | |
| dc.contributor.author | Dehghan, Mehdi | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2023-02-07T12:40:44Z | |
| dc.date.accessioned | 2025-09-18T12:09:24Z | |
| dc.date.available | 2023-02-07T12:40:44Z | |
| dc.date.available | 2025-09-18T12:09:24Z | |
| dc.date.issued | 2013 | |
| dc.description | Baleanu, Dumitru/0000-0002-0286-7244; Saadatmandi, Abbas/0000-0002-7744-7770; Dehghan, Mehdi/0000-0002-2573-9755 | en_US |
| dc.description.abstract | Fractional calculus is a rapidly going area from both experimental and theoretical points of view. As a result new methods and techniques should be developed in order to deal with new types of fractional differential equations. In this paper the operational matrix of fractional derivative together with the tau method are used to solve the linear systems of fractional differential equations. The results of this method are shown by solving three illustrative examples. By comparing the obtained results with the analytic solutions and with the ones provided by three standard methods for solving the fractional differential equations we conclude that our method gave comparable results. | en_US |
| dc.description.sponsorship | University of Kashan [159026] | en_US |
| dc.description.sponsorship | The second author was in part supported by a grant (No. 159026) from the University of Kashan. We are indebted to the referees for their helpful remarks. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2013). "The fractional linear systems of equations within an operational approach", Journal of Computational and Nonlinear Dynamics, Vol. 8, No. 2. | en_US |
| dc.identifier.doi | 10.1115/1.4007192 | |
| dc.identifier.issn | 1555-1423 | |
| dc.identifier.issn | 1555-1415 | |
| dc.identifier.uri | https://doi.org/10.1115/1.4007192 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11402 | |
| dc.language.iso | en | en_US |
| dc.publisher | Asme | en_US |
| dc.relation.ispartof | Journal of Computational and Nonlinear Dynamics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | 0Perational Matrix | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Tau Method | en_US |
| dc.title | The Fractional Linear Systems of Equations Within an Operational Approach | en_US |
| dc.title | The fractional linear systems of equations within an operational approach | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Baleanu, Dumitru/0000-0002-0286-7244 | |
| gdc.author.id | Saadatmandi, Abbas/0000-0002-7744-7770 | |
| gdc.author.id | Dehghan, Mehdi/0000-0002-2573-9755 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Saadatmandi, Abbas/Y-9231-2019 | |
| gdc.author.wosid | Dehghan, Mehdi/X-6830-2018 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76911 Magurele, Romania; [Saadatmandi, Abbas] Univ Kashan, Fac Math Sci, Dept Appl Math, Kashan 8731751167, Iran; [Kadem, Abdelouahab] Univ Setif, Fac Sci, Dept Math, Setif, Algeria; [Dehghan, Mehdi] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 8 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W1983316790 | |
| gdc.identifier.wos | WOS:000326031300011 | |
| gdc.index.type | WoS | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.4895952E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.popularity | 5.260503E-10 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.23958658 | |
| gdc.openalex.normalizedpercentile | 0.53 | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.crossrefcites | 1 | |
| gdc.plumx.mendeley | 6 | |
| gdc.plumx.scopuscites | 4 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 5 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |