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

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Shiri, B.
dc.contributor.author Srivastava, H. M.
dc.contributor.author Al Qurashi, Maysaa Mohamed
dc.date.accessioned 2019-12-20T12:36:07Z
dc.date.available 2019-12-20T12:36:07Z
dc.date.issued 2018-10-04
dc.identifier.citation Baleanu, D...et al. (2018). A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel, Advances in Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2220
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pushpa Publishing House tr_TR
dc.relation.isversionof 10.1186/s13662-018-1822-5 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject System of Fractional Differential Equations tr_TR
dc.subject Chebyshev Polynomials tr_TR
dc.subject Operational Matrices tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.subject Clenshaw-Curtis Formula tr_TR
dc.title A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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