A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

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dc.contributor.authorBaleanu, D.
dc.contributor.authorShiri, B.
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorAl Qurashi, M.
dc.date.accessioned2019-03-30T18:56:42Z
dc.date.available2019-03-30T18:56:42Z
dc.date.copyright2018en_US
dc.date.issued2018
dc.description.abstractIn this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a base and obtain the necessary operational matrix of fractional integral using the Clenshaw–Curtis formula. By applying the operational matrix, we obtain a system of linear algebraic equations. The approximate solution is computed by solving this system. The regularity of the solution investigated and a convergence analysis is provided. Numerical examples are provided to show the effectiveness and efficiency of the method.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationBaleanu, D., Shiri, B., Srivastava, H.M. & Qurashi, M.A. (2018). A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel. Advances in Difference Equations, 2018:353. https://doi.org/10.1186/s13662-018-1822-5en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-018-1822-5
dc.identifier.urihttp://hdl.handle.net/1828/10678
dc.language.isoenen_US
dc.publisherAdvances in Difference Equationsen_US
dc.subjectSystem of fractional differential equations
dc.subjectChebyshev polynomials
dc.subjectOperational matrices
dc.subjectMittag-Leffler function
dc.subjectClenshaw–Curtis formula
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernelen_US
dc.typeArticleen_US

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