An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorDoha, Eid H.
dc.contributor.authorBhrawy, Ali H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorEzz-Eldien, Samer S.
dc.contributor.authorHafez, Ramy M.
dc.date.accessioned2019-11-18T06:39:17Z
dc.date.available2019-11-18T06:39:17Z
dc.date.issued2015
dc.descriptionAccession Number: WOS:000351302600005en_US
dc.description.abstractIn this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense. Using the properties of the shifted Jacobi orthonormal polynomials together with the operational matrix of fractional integrals (described in the Riemann-Liouville sense), we transform the fractional optimal control problem into an equivalent variational problem that can be reduced to a problem consisting of solving a system of algebraic equations by using the Legendre-Gauss quadrature formula with the Rayleigh-Ritz method. This system can be solved by any standard iteration method. For confirming the efficiency and accuracy of the proposed scheme, we introduce some numerical examples with their approximate solutions and compare our results with those achieved using other methods.en_US
dc.description.sponsorshipDeanship of Scientific Research DSR, King Abdulaziz University, Jeddahen_US
dc.identifier.citationCited References in Web of Science Core Collection: 40en_US
dc.identifier.doihttps://doi.org/10.1186/s13662-014-0344-z
dc.identifier.issn1687-1847
dc.identifier.otherhttps://doi.org/10.1186/s13662-014-0344-z
dc.identifier.urihttps://link.springer.com/article/10.1186/s13662-014-0344-z
dc.language.isoenen_US
dc.publisherSPRINGEROPENen_US
dc.relation.ispartofseriesADVANCES IN DIFFERENCE EQUATIONS;Article Number: 15
dc.relation.urihttps://cutt.ly/jeJEsps
dc.subjectUniversity for fractional optimal control problemen_US
dc.subjectJacobi polynomialsen_US
dc.subjectoperational matrixen_US
dc.subjectGauss quadratureen_US
dc.subjectRayleigh-Ritz methoden_US
dc.titleAn efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problemsen_US
dc.typeArticleen_US

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
avatar_scholar_256.png
Size:
6.31 KB
Format:
Portable Network Graphics
Description: